메뉴 건너뛰기




Volumn 13, Issue 2, 2008, Pages 163-184

The bing-Borsuk and the busemann conjectures

Author keywords

ANR; Bing Borsuk conjecture; Busemann conjecture; Busemann G space; Cell like resolution; De Groot conjecture; Delta embedding property; Disjoint disks property; Gen eralized manifold; General position property; Homo geneity; Moore conjecture; Recognition theorem

Indexed keywords


EID: 70149122391     PISSN: 13310623     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (130)
  • 1
    • 0007932615 scopus 로고
    • Untersuchungen über Gestalt und Lage abgeschlossener Mengen beliebiger Dimension
    • P. S. Aleksandrov, Untersuchungen über Gestalt und Lage abgeschlossener Mengen beliebiger Dimension, Ann. of Math. 30(1928/1929), 101-187.
    • (1928) Ann. of Math. , vol.30 , pp. 101-187
    • Aleksandrov, P.S.1
  • 4
    • 0003273669 scopus 로고
    • Cellular decompositions of 3-manifolds that yield 3- manifolds
    • Amer. Math. Soc., Providence, R.I.
    • S. Armentrout, Cellular decompositions of 3-manifolds that yield 3- manifolds, Mem. Amer. Math. Soc. 107, Amer. Math. Soc., Providence, R.I., 1971.
    • (1971) Mem. Amer. Math. Soc. , vol.107
    • Armentrout, S.1
  • 5
    • 76149139042 scopus 로고    scopus 로고
    • Continuously homogeneous spaces and topological right loops
    • Lviv 2008, 1-8 June
    • T. Banakh, Z. Kosztolowicz, S. Turek, Continuously homogeneous spaces and topological right loops, Intern. Conf. Analysis and Topology, Lviv 2008, 1-8 June, 2008. (http://atlas-conferences.com/cgi-bin/abstract/cawm-69).
    • (2008) Intern. Conf. Analysis and Topology
    • Banakh, T.1    Kosztolowicz, Z.2    Turek, S.3
  • 7
    • 42649104072 scopus 로고    scopus 로고
    • Topological groups and convex sets homeomorphic to non-separable Hilbert spaces
    • T. Banakh, I. Zarichnyi, Topological groups and convex sets homeomorphic to non-separable Hilbert spaces, Central European J. of Math. 6(2008), 77-86.
    • (2008) Central European J. of Math. , vol.6 , pp. 77-86
    • Banakh, T.1    Zarichnyi, I.2
  • 9
    • 76149113078 scopus 로고    scopus 로고
    • The generalized Schoenflies theorem for absolute suspensions
    • D. P. Bellamy, J.M. Lysko, The generalized Schoenflies theorem for absolute suspensions, Colloq. Math. 103(2005), 241-246.
    • (2005) Colloq. Math. , vol.103 , pp. 241-246
    • Bellamy, D.P.1    Lysko, J.M.2
  • 10
    • 27544450480 scopus 로고
    • On the problem of the finite dimensionality of a busemann G-space
    • in Russian
    • V. N. Berestovskǐ, On the problem of the finite dimensionality of a Busemann G-space, (in Russian), Sibirsk. Mat. Ž. 18(1977), 219-221.
    • (1977) Sibirsk. Mat. Ž. , vol.18 , pp. 219-221
    • Berestovskǐ, V.N.1
  • 11
    • 84932904834 scopus 로고
    • Busemann homogeneous G-spaces
    • in Russian
    • V. N. Berestovskǐ, Busemann homogeneous G-spaces, (in Russian), Dokl. Akad. Nauk SSSR 247(1979), 525-528.
    • (1979) Dokl. Akad. Nauk SSSR , vol.247 , pp. 525-528
    • Berestovskǐ, V.N.1
  • 12
    • 38949193919 scopus 로고
    • Homogeneous busemann G-spaces
    • in Russian
    • V. N. Berestovskǐ, Homogeneous Busemann G-spaces, (in Russian), Sibirsk. Mat.Ž. 23(1982), 3-15.
    • (1982) Sibirsk. Mat.Ž. , vol.23 , pp. 3-15
    • Berestovskǐ, V.N.1
  • 13
    • 4043076235 scopus 로고    scopus 로고
    • Busemann spaces with upper-bounded aleksandrov curvature
    • in Russian
    • V. N. Berestovskǐ, Busemann spaces with upper-bounded Aleksandrov curvature, (in Russian), Algebra i Analiz 14 (2002), 3-18;
    • (2002) Algebra i Analiz , vol.14 , pp. 3-18
    • Berestovskǐ, V.N.1
  • 14
    • 76149114450 scopus 로고    scopus 로고
    • English transl. in
    • English transl. in St. Petersburg Math. J. 14(2003), 713-723.
    • (2003) St. Petersburg Math. J. , vol.14 , pp. 713-723
  • 15
    • 76149094687 scopus 로고    scopus 로고
    • Poincaré's conjecture and related statements
    • in Russian
    • V. N. Berestovskǐ, Poincaré's conjecture and related statements, (in Russian), Izv. Vyssh. Uchebn. Zaved. Mat. (2007), No.9, 3-41;
    • (2007) Izv. Vyssh. Uchebn. Zaved. Mat. , Issue.9 , pp. 3-41
    • Berestovskǐ, V.N.1
  • 16
    • 76149100743 scopus 로고    scopus 로고
    • English transl. in
    • English transl. in Russian Math. (Iz. VUZ) 51(2007), 1-36.
    • (2007) Russian Math. (Iz. VUZ) , vol.51 , pp. 1-36
  • 17
    • 15944386392 scopus 로고    scopus 로고
    • A 4- dimensional 1-LCC shrinking theorem
    • Geometric Topology and Geometric Group Theory Milwaukee WI, 1997
    • M. Bestvina, R. J. Daverman, G. A. Venma, J. J. Walsh, A 4- dimensional 1-LCC shrinking theorem, Geometric Topology and Geometric Group Theory, Milwaukee, WI, 1997, Topology Appl. 110(2001), 3-20.
    • (2001) Topology Appl. , vol.110 , pp. 3-20
    • Bestvina, M.1    Daverman, R.J.2    Venma, G.A.3    Walsh, J.J.4
  • 20
    • 30244515588 scopus 로고
    • Some remarks concerning topologically homogeneous spaces
    • R.H. Bing, K. Borsuk, Some remarks concerning topologically homogeneous spaces, Ann. of Math. 81(1965), 100-111.
    • (1965) Ann. of Math. , vol.81 , pp. 100-111
    • Bing, R.H.1    Borsuk, K.2
  • 22
    • 76149094343 scopus 로고
    • Über sphäroidale und H-sphäroidale Räume
    • K. Borsuk, Über sphäroidale und H-sphäroidale Räume, Recueil Math. 1(1936), 643-650.
    • (1936) Recueil Math. , vol.1 , pp. 643-650
    • Borsuk, K.1
  • 23
    • 0004263336 scopus 로고
    • McGraw-Hill, New York
    • G. Bredon, Sheaf Theory, McGraw-Hill, New York, 1967.
    • (1967) Sheaf Theory
    • Bredon, G.1
  • 24
    • 0003384875 scopus 로고
    • Generalized manifolds revisited
    • (J.D. Cantrell and C. H. Edwards, Eds.), Proceeding of the University of Georgia Topology of Manifolds Institute, Markham, Chicago
    • G. Bredon, Generalized manifolds revisited, Topology of Manifolds, (J.D. Cantrell and C. H. Edwards, Eds.), Proceeding of the University of Georgia Topology of Manifolds Institute, Markham, Chicago, 1970, 461-469.
    • (1970) Topology of Manifolds , pp. 461-469
    • Bredon, G.1
  • 25
    • 34547535453 scopus 로고
    • Generalized 3-manifolds whose nonmanifold set has neighborhoods bounded by tori
    • M. G. Brin, Generalized 3-manifolds whose nonmanifold set has neighborhoods bounded by tori, Trans. Amer. Math. Soc. 264(1981), 539-555.
    • (1981) Trans. Amer. Math. Soc. , vol.264 , pp. 539-555
    • Brin, M.G.1
  • 26
    • 0842273263 scopus 로고
    • Generalized three-manifolds with zerodimensional non-manifold set
    • M. G. Brin, D.R. McMillan, Jr., Generalized three-manifolds with zerodimensional non-manifold set, Pacific J. Math. 97(1981), 29-58.
    • (1981) Pacific J. Math. , vol.97 , pp. 29-58
    • Brin, M.G.1    McMillan Jr., D.R.2
  • 27
    • 0000384006 scopus 로고
    • Beweis der Invarianz der Dimensionenzahl
    • L. E. J. Brouwer, Beweis der Invarianz der Dimensionenzahl, Math. Annalen 70(1911), 161-165.
    • (1911) Math. Annalen , vol.70 , pp. 161-165
    • Brouwer, L.E.J.1
  • 28
    • 0343964683 scopus 로고
    • Zur Invarianz des n-dimensionalen Gebiets
    • L. E. J. Brouwer, Zur Invarianz des n-dimensionalen Gebiets, Math. Annalen 72:2 (1912), 55-56.
    • (1912) Math. Annalen , vol.72 , Issue.2 , pp. 55-56
    • Brouwer, L.E.J.1
  • 29
    • 0011518711 scopus 로고
    • Homogeneous ENR's
    • J. L. Bryant, Homogeneous ENR's, Topology Appl. 27(1987), 301-306.
    • (1987) Topology Appl. , vol.27 , pp. 301-306
    • Bryant, J.L.1
  • 30
    • 76149137076 scopus 로고    scopus 로고
    • Reflections on the Bing-Borsuk conjecture
    • Abstracts of the talks presented at the June 13-15
    • J. L. Bryant, Reflections on the Bing-Borsuk conjecture, Abstracts of the talks presented at the 19th Annual Workshop in Geometric Topology, June 13-15, 2002, 2-3.
    • (2002) 19th Annual Workshop in Geometric Topology , pp. 2-3
    • Bryant, J.L.1
  • 34
    • 49349135075 scopus 로고
    • Manifold factors that are manifold quotients
    • J. L. Bryant, J.G. Hollingsworth, Manifold factors that are manifold quotients, Topology 13(1974), 19-24.
    • (1974) Topology , vol.13 , pp. 19-24
    • Bryant, J.L.1    Hollingsworth, J.G.2
  • 35
    • 76149134514 scopus 로고
    • Blowing up homology manifolds
    • J. L. Bryant, R.C. Lacher, Blowing up homology manifolds, J. London Math. Soc. (2) 16(1977), 372-376.
    • (1977) J. London Math. Soc. , vol.16 , Issue.2 , pp. 372-376
    • Bryant, J.L.1    Lacher, R.C.2
  • 36
    • 84971120646 scopus 로고
    • Resolving zero-dimensional singularities in generalized manifolds
    • J. L. Bryant, R.C. Lacher, Resolving zero-dimensional singularities in generalized manifolds, Math. Proc. Camb. Phil. Soc. 83(1978), 403-413.
    • (1978) Math. Proc. Camb. Phil. Soc. , vol.83 , pp. 403-413
    • Bryant, J.L.1    Lacher, R.C.2
  • 38
    • 49049134026 scopus 로고
    • Splitting manifolds as M ×R where M has a k-fold end structure
    • J. L. Bryant, M. E. Petty, Splitting manifolds as M ×R where M has a k-fold end structure, Topol. Appl. 14(1982), 87-104.
    • (1982) Topol. Appl. , vol.14 , pp. 87-104
    • Bryant, J.L.1    Petty, M.E.2
  • 39
    • 33646864986 scopus 로고
    • Aleksandrov's spaces with curvature bounded from below I
    • Y. Burago, M. Gromov, G. Perel'man, Aleksandrov's spaces with curvature bounded from below, I , Russian Math. Surv. 47(1992), 1-58.
    • (1992) Russian Math. Surv. , vol.47 , pp. 1-58
    • Burago, Y.1    Gromov, M.2    Perel'man, G.3
  • 40
    • 0003284254 scopus 로고
    • Metric methods in Finsler spaces and in the foundations of geometry
    • Princeton University Press, Princeton
    • H. Busemann, Metric methods in Finsler spaces and in the foundations of geometry, Ann. Math. Study no. 8, Princeton University Press, Princeton, 1942.
    • (1942) Ann. Math. Study no. 8
    • Busemann, H.1
  • 41
    • 0011412339 scopus 로고
    • On spaces in which two points determine a geodesic
    • H. Busemann, On spaces in which two points determine a geodesic, Trans. Amer. Math. Soc. 54 (1943), 171-184.
    • (1943) Trans. Amer. Math. Soc. , vol.54 , pp. 171-184
    • Busemann, H.1
  • 43
    • 0000550233 scopus 로고
    • The recognition problem: What is a topological manifold?
    • J. W. Cannon, The recognition problem: what is a topological manifold?, Bull. Amer. Math. Soc. 84(1978), 832-866.
    • (1978) Bull. Amer. Math. Soc. , vol.84 , pp. 832-866
    • Cannon, J.W.1
  • 45
    • 0002439897 scopus 로고
    • Shrinking cell-like decompositions of manifolds. Codimension three
    • J. W. Cannon, Shrinking cell-like decompositions of manifolds. Codimension three, Ann. of Math. 110(1979), 83-112.
    • (1979) Ann. of Math. , vol.110 , pp. 83-112
    • Cannon, J.W.1
  • 46
    • 0010833007 scopus 로고
    • The structure of generalized manifolds having non manifold set of trivial dimension
    • (J. C. Cantrell, Ed.), Academic Press, New York
    • J. W. Cannon, J. L. Bryant, R.C. Lacher, The structure of generalized manifolds having non manifold set of trivial dimension, Geometric Topology (J. C. Cantrell, Ed.), Academic Press, New York, 1979, 261-300.
    • (1979) Geometric Topology , pp. 261-300
    • Cannon, J.W.1    Bryant, J.L.2    Lacher, R.C.3
  • 47
    • 34547500201 scopus 로고    scopus 로고
    • On the construction of 4kdimensional generalized manifolds in: High-dimensional manifold topology
    • F.T. Farrell and W. Lueck, Eds.
    • A. Cavicchioli, F. Hegenbarth, D. Repovš, On the construction of 4kdimensional generalized manifolds, in: High-Dimensional Manifold Topology, (F.T. Farrell and W. Lueck, Eds.), World Scientific, Singapore 2003, 103-124.
    • (2003) World Scientific, Singapore , pp. 103-124
    • Cavicchioli, A.1    Hegenbarth, F.2    Repovš, D.3
  • 48
    • 76149085682 scopus 로고    scopus 로고
    • The Bryant-Ferry-Mio-Weinberger construction of generalized manifolds in: Exotic homology manifolds - oberwolfach 2003
    • F. S. Quinn and A. A. Ranicki, Eds.
    • A. Cavicchioli, F. Hegenbarth, D. Repovš, The Bryant-Ferry-Mio- Weinberger construction of generalized manifolds, in: Exotic Homology Manifolds - Oberwolfach 2003, (F. S. Quinn and A. A. Ranicki, Eds.), Geometry and Topology Monographs 9(2006), 17-32.
    • (2006) Geometry and Topology Monographs , vol.9 , pp. 17-32
    • Cavicchioli, A.1    Hegenbarth, F.2    Repovš, D.3
  • 50
  • 51
    • 34547498176 scopus 로고    scopus 로고
    • English transl. in
    • English transl. in J. Math. Sci. (N. Y.) 144(2007), 4413-4422.
    • (2007) J. Math. Sci. (N. Y.) , vol.144 , pp. 4413-4422
  • 52
    • 0000569844 scopus 로고
    • Approximating homotopy equivalences by homeomorphisms
    • A. Chapman, S. Ferry, Approximating homotopy equivalences by homeomorphisms, Amer. J. Math. 101(1979), 583-607.
    • (1979) Amer. J. Math. , vol.101 , pp. 583-607
    • Chapman, A.1    Ferry, S.2
  • 53
    • 84966212174 scopus 로고
    • Singular regular neighborhoods and local flatness in codimension one
    • R. J. Daverman, Singular regular neighborhoods and local flatness in codimension one, Proc. Amer. Math. Soc. 57(1976), 357-362.
    • (1976) Proc. Amer. Math. Soc. , vol.57 , pp. 357-362
    • Daverman, R.J.1
  • 54
    • 84972529889 scopus 로고
    • Detecting the disjoint disks property
    • R. J. Daverman, Detecting the disjoint disks property, Pacific J. Math. 93(1981), 277-298.
    • (1981) Pacific J. Math. , vol.93 , pp. 277-298
    • Daverman, R.J.1
  • 55
    • 0003360611 scopus 로고
    • Decompositions of manifolds
    • Academic Press, Inc., Orlando, FL
    • R. J. Daverman, Decompositions of Manifolds, Pure and Applied Mathematics 124, Academic Press, Inc., Orlando, FL, 1986.
    • (1986) Pure and Applied Mathematics , vol.124
    • Daverman, R.J.1
  • 57
    • 38949141155 scopus 로고    scopus 로고
    • The cell-like approximation theorem in dimension n =5
    • R. J. Daverman, D. M. Halverson, The cell-like approximation theorem in dimension n = 5, Fund. Math. 197 (2007), 81-121.
    • (2007) Fund. Math. , vol.197 , pp. 81-121
    • Daverman, R.J.1    Halverson, D.M.2
  • 58
    • 0037818044 scopus 로고
    • Decompositions and approximate fibrations
    • R. J. Daverman, L. S. Husch, Decompositions and approximate fibrations, Michigan Math. J. 31(1984), 197-214.
    • (1984) Michigan Math. J. , vol.31 , pp. 197-214
    • Daverman, R.J.1    Husch, L.S.2
  • 59
    • 84966198586 scopus 로고
    • A new 3-dimensional shrinking criterion
    • R. J. Daverman, D. Repovš, A new 3-dimensional shrinking criterion, Trans. Amer. Math. Soc. 315(1989), 219-230.
    • (1989) Trans. Amer. Math. Soc. , vol.315 , pp. 219-230
    • Daverman, R.J.1    Repovš, D.2
  • 60
    • 0011474366 scopus 로고
    • General position properties that characterize 3-manifolds
    • R. J. Daverman, D. Repovš, General position properties that characterize 3-manifolds, Canad. J. Math. 44(1992), 234-251.
    • (1992) Canad. J. Math. , vol.44 , pp. 234-251
    • Daverman, R.J.1    Repovš, D.2
  • 62
    • 33646982804 scopus 로고
    • Separable complete ANRs admitting a group structure are Hilbert manifolds
    • T. Dobrowolski, H. Toruńczyk, Separable complete ANRs admitting a group structure are Hilbert manifolds, Topology Appl. 12(1981) 229-235.
    • (1981) Topology Appl. , vol.12 , pp. 229-235
    • Dobrowolski, T.1    Toruńczyk, H.2
  • 63
    • 76149131834 scopus 로고
    • Brouwer property space
    • E. Duda, Brouwer property space, Duke Math. J. 30(1963), 647-660.
    • (1963) Duke Math. J. , vol.30 , pp. 647-660
    • Duda, E.1
  • 67
    • 0011412340 scopus 로고
    • Sheaves that are locally constant with applications to homology manifold in: Geometric topology and shape theory
    • (S. Mardešić and J. Segal, Eds.) Springer-Verlag, Berlin and New York
    • J. Dydak, J. J. Walsh, Sheaves that are locally constant with applications to homology manifold, in: Geometric Topology and Shape Theory, (S. Mardešić and J. Segal, Eds.), Lecture Notes in Math. 1283, Springer-Verlag, Berlin and New York, 1987, 65-87.
    • (1987) Lecture Notes in Math. , vol.1283 , pp. 65-87
    • Dydak, J.1    Walsh, J.J.2
  • 69
    • 84972496726 scopus 로고
    • The topology of 4-dimensional manifolds
    • M.H. Freedman, The topology of 4-dimensional manifolds, J. Diff. Geo. 17(1982), 357-454.
    • (1982) J. Diff. Geo. , vol.17 , pp. 357-454
    • Freedman, M.H.1
  • 72
    • 33947410412 scopus 로고    scopus 로고
    • A solution to de Groot's absolute cone conjecture
    • C. R. Guilbault, A solution to de Groot's absolute cone conjecture, Topology 46(2007), 89-102.
    • (2007) Topology , vol.46 , pp. 89-102
    • Guilbault, C.R.1
  • 73
    • 0037920898 scopus 로고    scopus 로고
    • Rectifiable spaces
    • A. Gulko, Rectifiable spaces, Topology Appl. 68(1996), 107-112.
    • (1996) Topology Appl. , vol.68 , pp. 107-112
    • Gulko, A.1
  • 74
    • 0038352128 scopus 로고    scopus 로고
    • Detecting codimension one manifold factors with the disjoint homotopies property
    • D. M. Halverson, Detecting codimension one manifold factors with the disjoint homotopies property, Topology Appl. 117(2002), 231-258.
    • (2002) Topology Appl. , vol.117 , pp. 231-258
    • Halverson, D.M.1
  • 75
    • 0842303686 scopus 로고    scopus 로고
    • 2-ghastly spaces with the disjoint homotopies property: The method of fractured maps
    • D. M. Halverson, 2-ghastly spaces with the disjoint homotopies property: the method of fractured maps, Topology Appl. 138(2004), 277-286.
    • (2004) Topology Appl. , vol.138 , pp. 277-286
    • Halverson, D.M.1
  • 76
    • 34247191388 scopus 로고    scopus 로고
    • Detecting codimension one manifold factors with 0- stitched disks
    • D. M. Halverson, Detecting codimension one manifold factors with 0- stitched disks, Topology Appl. 154(2007), 1993-1998.
    • (2007) Topology Appl. , vol.154 , pp. 1993-1998
    • Halverson, D.M.1
  • 78
    • 76149085682 scopus 로고    scopus 로고
    • The Bryant-Ferry-Mio-Weinberger construction of generalized manifolds in: Exotic homology manifoldso berwolfach 2003
    • F. Quinn and A. Ranicki, Eds.
    • F. Hegenbarth, D. Repovš, The Bryant-Ferry-Mio-Weinberger construction of generalized manifolds, in: Exotic Homology Manifolds, O berwolfach 2003, (F. Quinn and A. Ranicki, Eds.), Geometry and Topology Monographs 9(2006), 17-32.
    • (2006) Geometry and Topology Monographs , vol.9 , pp. 17-32
    • Hegenbarth, F.1    Repovš, D.2
  • 79
    • 21744458191 scopus 로고    scopus 로고
    • The boundary of a Busemann space
    • P. K. Hotchkiss, The boundary of a Busemann space, Proc. Amer. Math. Soc. 125(1997), 1903-1912.
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 1903-1912
    • Hotchkiss, P.K.1
  • 80
    • 76149121976 scopus 로고
    • The Bing-Borsuk conjecture is stronger than the Poincaré conjecture
    • W. Jakobsche, The Bing-Borsuk conjecture is stronger than the Poincaré conjecture, Fund. Math. 106(1980), 127-134.
    • (1980) Fund. Math. , vol.106 , pp. 127-134
    • Jakobsche, W.1
  • 82
    • 0011481729 scopus 로고
    • Any3-dimensional G-space is a manifold
    • B. Krakus, , Any 3-dimensional G-space is a manifold, Bull. Acad. Pol. Sci. 16(1968), 737-740.
    • (1968) Bull. Acad. Pol. Sci. , vol.16 , pp. 737-740
    • Krakus, B.1
  • 83
    • 76149095012 scopus 로고
    • On the disjoint (0 n)-cells property for homogeneous ANRs
    • P. Krupski, On the disjoint (0, n)-cells property for homogeneous ANRs, Colloq. Math. 66(1993), 77-84.
    • (1993) Colloq. Math. , vol.66 , pp. 77-84
    • Krupski, P.1
  • 84
    • 84966208223 scopus 로고
    • Cell-like mappings and their generalizations
    • R. C. Lacher, Cell-like mappings and their generalizations, Bull. Amer. Math. Soc. 83(1977), 495-552.
    • (1977) Bull. Amer. Math. Soc. , vol.83 , pp. 495-552
    • Lacher, R.C.1
  • 86
    • 30244490635 scopus 로고
    • Some theorems concerning finite dimensional Homogeneous ANR-spaces
    • J. M. Lysko, Some theorems concerning finite dimensional Homogeneous ANR-spaces, Bull. Acad. Polon. Sci. Math., Astron. et Phys. 24(1976), 491-496.
    • (1976) Bull. Acad. Polon. Sci. Math., Astron. et Phys. , vol.24 , pp. 491-496
    • Lysko, J.M.1
  • 87
    • 32344444264 scopus 로고    scopus 로고
    • On characterization of Lipschitz manifolds
    • Budapest 1996, Kluwer Acad. Publ., Dordrecht
    • J. Malešiè, D. Repovš, On characterization of Lipschitz manifolds, New Developments in Differential Geometry, Budapest 1996, Kluwer Acad. Publ., Dordrecht, 1999, 265-277.
    • (1999) New Developments in Differential Geometry , pp. 265-277
    • Malešiè, J.1    Repovš, D.2
  • 88
    • 0001723313 scopus 로고
    • Mapping cylinder neighborhoods of some ANR's
    • R. Miller, Mapping cylinder neighborhoods of some ANR's, Ann. of Math 103(1976), 417-427.
    • (1976) Ann. of Math , vol.103 , pp. 417-427
    • Miller, R.1
  • 89
    • 33646984377 scopus 로고
    • Absolute suspensions and cones
    • W.J. R. Mitchell, Absolute suspensions and cones, Fund. Math. 101(1978), 241-244.
    • (1978) Fund. Math. , vol.101 , pp. 241-244
    • Mitchell, W.J.R.1
  • 90
    • 84966217688 scopus 로고
    • Defining the boundary of a homology manifold
    • W.J. R. Mitchell, Defining the boundary of a homology manifold, Proc. Am. Math. Soc. 110(1990), 509-513.
    • (1990) Proc. Am. Math. Soc. , vol.110 , pp. 509-513
    • Mitchell, W.J.R.1
  • 93
    • 42149111362 scopus 로고    scopus 로고
    • Ricci flow and the Poincaré conjecture
    • American Mathematical Society, Providence, RI; Clay Mathematics Institute, Cambridge, MA
    • J. Morgan, G. Tian, Ricci flow and the Poincaré conjecture, Clay Mathematics Monographs 3, American Mathematical Society, Providence, RI; Clay Mathematics Institute, Cambridge, MA, 2007.
    • (2007) Clay Mathematics Monographs , vol.3
    • Morgan, J.1    Tian, G.2
  • 94
    • 33947354907 scopus 로고    scopus 로고
    • Absolute cones
    • S. B. Nadler, Absolute Cones, Topology Proc. 29(2005), 267-276.
    • (2005) Topology Proc. , vol.29 , pp. 267-276
    • Nadler, S.B.1
  • 95
    • 33845798069 scopus 로고
    • 1-FLG complexes are tame in 3-manifolds
    • V. A. Nicholson, 1-FLG complexes are tame in 3-manifolds, General Topology Appl. 2(1972), 277-285.
    • (1972) General Topology Appl. , vol.2 , pp. 277-285
    • Nicholson, V.A.1
  • 97
    • 77952886624 scopus 로고    scopus 로고
    • Metric spaces,con vexity and nonpositive curvature
    • European Math. Soc., Zürich
    • A. Papapdopoulos, Metric Spaces, Con vexity and Nonpositive Curvature, IRMA Lect. Math. and Theor. Phys. 6, European Math. Soc., Zürich, 2005.
    • (2005) IRMA Lect. Math. and Theor. Phys. , vol.6
    • Papapdopoulos, A.1
  • 99
    • 84972517086 scopus 로고
    • Ends of maps III: Dimensions 4 and 5
    • F. S. Quinn, Ends of maps III: dimensions 4 and 5, J. Diff. Geo. 17 (1982), 503-521.
    • (1982) J. Diff. Geo. , vol.17 , pp. 503-521
    • Quinn, F.S.1
  • 100
    • 0001667031 scopus 로고
    • An obstruction to the resolution of homology manifolds
    • F. S. Quinn, An obstruction to the resolution of homology manifolds, Mich. Math. J. 34(1987), 285-291.
    • (1987) Mich. Math. J. , vol.34 , pp. 285-291
    • Quinn, F.S.1
  • 101
    • 76149142950 scopus 로고    scopus 로고
    • Problems on homology manifolds Exotic homologymanifolds-Oberwolfach 2003
    • Geom. Topol. Publ., Coventry
    • F. S. Quinn, Problems on homology manifolds, Exotic homologymanifolds- Oberwolfach 2003, Geom. Topol. Monogr. 9, Geom. Topol. Publ., Coventry, 2006, 87-103.
    • (2006) Geom. Topol. Monogr. , vol.9 , pp. 87-103
    • Quinn, F.S.1
  • 102
    • 0001827897 scopus 로고
    • Separation and union theorems for generalized manifolds with boundary
    • F. Raymond, Separation and union theorems for generalized manifolds with boundary, Mich. Math. J. 7(1960), 7-21.
    • (1960) Mich. Math. J. , vol.7 , pp. 7-21
    • Raymond, F.1
  • 103
    • 76149143819 scopus 로고
    • Isolated singularities in generalized 3-manifolds
    • D. Repovš, Isolated singularities in generalized 3-manifolds, C. R. Acad. Bulg. Sci. 39(1986), 13-15;
    • (1986) C. R. Acad. Bulg. Sci. , vol.39 , pp. 13-15
    • Repovš, D.1
  • 104
    • 76149127850 scopus 로고
    • Isolated singularities in generalized 3-manifolds
    • D. Repovš, Isolated singularities in generalized 3-manifolds, C. R. Acad. Bulg. Sci. 40(1987), 143.
    • (1987) C. R. Acad. Bulg. Sci. , vol.40 , pp. 143
    • Repovš, D.1
  • 105
    • 70149120520 scopus 로고
    • The recognition problem for topological manifolds in: Geometric and algebraic topology
    • J. Krasinkiewicz, S. Spie, and H. Toruczyk, Eds.
    • D. Repovš, The recognition problem for topological manifolds, in: Geometric and Algebraic Topology, (J. Krasinkiewicz, S. Spie, and H. Toruczyk, Eds.), PWN, Warsaw, 1986, 77-108.
    • (1986) PWN, Warsaw , pp. 77-108
    • Repovš, D.1
  • 106
    • 76149098652 scopus 로고
    • Resolving acyclic images of higher-dimensional manifolds
    • D. Repovš, Resolving acyclic images of higher-dimensional manifolds, Glas. Mat. (42) 22(1987), 497-502.
    • (1987) Glas. Mat. ( , vol.22 , Issue.42 , pp. 497-502
    • Repovš, D.1
  • 107
    • 70149124528 scopus 로고
    • Detection of higher dimensional topological manifolds among topological spaces
    • M. Ferri, Ed., Univ. degli Studi di Bologna
    • D. Repovš, Detection of higher dimensional topological manifolds among topological spaces, Giornate di Topologia e Geometria Delle Varietá, Bologna 1990, M. Ferri, Ed., Univ. degli Studi di Bologna 1992, 113-143.
    • (1990) Giornate di Topologia e Geometria Delle Varietá Bologna , vol.1992 , pp. 113-143
    • Repovš, D.1
  • 108
    • 84972518388 scopus 로고
    • The recognition problem for topological manifolds: A survey
    • D. Repovš, The recognition problem for topological manifolds: A survey, Kodai Math. J. 17(1994), 538-548.
    • (1994) Kodai Math. J. , vol.17 , pp. 538-548
    • Repovš, D.1
  • 109
    • 76149122669 scopus 로고
    • Resolving acyclic images of nonorientable threemanifolds
    • D. Repovš, R. C. Lacher, Resolving acyclic images of nonorientable threemanifolds, Proc. Amer. Math. Soc. 90(1984), 157-161.
    • (1984) Proc. Amer. Math. Soc. , vol.90 , pp. 157-161
    • Repovš, D.1    Lacher, R.C.2
  • 113
  • 114
    • 30244541004 scopus 로고
    • Locally homogeneous ANR-spaces
    • H. Seidel, Locally homogeneous ANR-spaces, Arch.Math. 44(1985), 79-81.
    • (1985) Arch.Math. , vol.44 , pp. 79-81
    • Seidel, H.1
  • 115
    • 0001575814 scopus 로고
    • Approximating cellular maps by homeomorphisms
    • L.C. Siebenmann, Approximating cellular maps by homeomorphisms, Topology 11(1972), 271-294.
    • (1972) Topology , vol.11 , pp. 271-294
    • Siebenmann, L.C.1
  • 117
    • 0009946905 scopus 로고
    • On the topological characterization of transitive Lie group actions
    • J. Szenthe, On the topological characterization of transitive Lie group actions, Acta Sci. Math. (Szeged) 36(1974), 323-344.
    • (1974) Acta Sci. Math. (Szeged) , vol.36 , pp. 323-344
    • Szenthe, J.1
  • 118
    • 33745655881 scopus 로고
    • On absolute suspensions
    • A. Szymánski, On absolute suspensions, Fund. Math. 86(1974), 157-161.
    • (1974) Fund. Math. , vol.86 , pp. 157-161
    • Szymánski, A.1
  • 119
    • 0842337896 scopus 로고
    • An extension of the loop theorem and resolutions of generalized 3-manifolds with 0-dimensional singular set
    • T. L. Thickstun, An extension of the loop theorem and resolutions of generalized 3-manifolds with 0-dimensional singular set, Invent. Math. 78(1984), 161-222.
    • (1984) Invent. Math. , vol.78 , pp. 161-222
    • Thickstun, T.L.1
  • 120
    • 0842273261 scopus 로고
    • Strongly acyclic maps and homology 3-manifolds with 0- dimensional singular set
    • T. L. Thickstun, Strongly acyclic maps and homology 3-manifolds with 0- dimensional singular set, Proc. London Math. Soc. 55(1987), 378-432.
    • (1987) Proc. London Math. Soc. , vol.55 , pp. 378-432
    • Thickstun, T.L.1
  • 121
    • 0842303678 scopus 로고    scopus 로고
    • Resolutions of generalized 3-manifolds whose singular sets have general position dimension one
    • T. L. Thickstun, Resolutions of generalized 3-manifolds whose singular sets have general position dimension one, Topology Appl. 138(2004), 61-95.
    • (2004) Topology Appl. , vol.138 , pp. 61-95
    • Thickstun, T.L.1
  • 122
    • 0030240120 scopus 로고    scopus 로고
    • 4-dimensional Busemann G-spaces are4-manifolds
    • P. Thurston, 4-dimensional Busemann G-spaces are 4-manifolds, Diff. Geom. Appl. 6(1996), 245-270.
    • (1996) Diff. Geom. Appl. 6 , pp. 245-270
    • Thurston, P.1
  • 123
    • 0010172179 scopus 로고
    • Mémoire sur multiplicité cantoriennes
    • P. S. Urysohn, Mémoire sur multiplicité cantoriennes, Fund. Math. 7(1925), 30-137.
    • (1925) Fund. Math. , vol.7 , pp. 30-137
    • Urysohn, P.S.1
  • 126
    • 0012900627 scopus 로고
    • A compact space with a measure that knows which sets are homeomorphic
    • E. K. Van Douwen, A compact space with a measure that knows which sets are homeomorphic, Advances in Mathematics 52(1984), 1-33.
    • (1984) Advances in Mathematics , vol.52 , pp. 1-33
    • Van Douwen, E.K.1
  • 127
    • 43549097425 scopus 로고
    • A topological group having no homeomorphisms other than translations
    • J. Van Mill, A topological group having no homeomorphisms other than translations, Trans. Amer. Math. Soc. 280(1983), 491-498.
    • (1983) Trans. Amer. Math. Soc. , vol.280 , pp. 491-498
    • Van Mill, J.1
  • 128
    • 30244432842 scopus 로고    scopus 로고
    • Bubbly continua and homogeneity
    • K. Yokoi, Bubbly continua and homogeneity, Houston J. Math. 29(2003), 337-342.
    • (2003) Houston J. Math. , vol.29 , pp. 337-342
    • Yokoi, K.1
  • 129
    • 0001997483 scopus 로고
    • Mapping Hilbert cube manifolds to ANR's: A solution to a conjecture of Borsuk
    • J.E. West, Mapping Hilbert cube manifolds to ANR's: a solution to a conjecture of Borsuk, Ann. of Math. 106(1977), 1-18.
    • (1977) Ann. of Math. , vol.106 , pp. 1-18
    • West, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.