메뉴 건너뛰기




Volumn 156, Issue 17, 2009, Pages 2870-2880

Detecting codimension one manifold factors with topographical techniques

Author keywords

Cell like resolution; Codimension one manifold factor; Fuzzy ribbons property; General position property; Generalized manifold; Resolvable; Topographical map pair; Twisted crinkled ribbons property

Indexed keywords


EID: 70149084521     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2009.08.023     Document Type: Article
Times cited : (3)

References (14)
  • 1
    • 0003360611 scopus 로고
    • Decompositions of Manifolds
    • Academic Press, Inc., Orlando, FL
    • Daverman R.J. Decompositions of Manifolds. Pure Appl. Math. vol. 124 (1986), Academic Press, Inc., Orlando, FL
    • (1986) Pure Appl. Math. , vol.124
    • Daverman, R.J.1
  • 2
    • 84966212174 scopus 로고
    • Singular regular neighborhoods and local flatness in codimension one
    • Daverman R.J. 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
  • 3
    • 34247243934 scopus 로고    scopus 로고
    • Path concordances as detectors of codimension-one manifold factors
    • Exotic Homology Manifolds. Oberwolfach, 2003, Geom. Topol. Publ., Coventry
    • Daverman R.J., and Halverson D.M. Path concordances as detectors of codimension-one manifold factors. Exotic Homology Manifolds. Oberwolfach, 2003. Geom. Topol. Monogr. vol. 9 (2006), Geom. Topol. Publ., Coventry 7-15
    • (2006) Geom. Topol. Monogr. , vol.9 , pp. 7-15
    • Daverman, R.J.1    Halverson, D.M.2
  • 4
    • 38949141155 scopus 로고    scopus 로고
    • The cell-like approximation theorem in dimension n = 5
    • Daverman R.J., and Halverson D.M. 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
  • 5
    • 84972526509 scopus 로고
    • A ghastly generalized n-manifold
    • Daverman R.J., and Walsh J.J. A ghastly generalized n-manifold. Illinois J. Math. 25 4 (1981) 555-576
    • (1981) Illinois J. Math. , vol.25 , Issue.4 , pp. 555-576
    • Daverman, R.J.1    Walsh, J.J.2
  • 6
    • 0347961073 scopus 로고
    • Demension theory, I
    • Geometric Topology, Proc. Conf. Park City, Utah, 1974, Springer, Berlin
    • Edwards R.D. Demension theory, I. Geometric Topology, Proc. Conf. Park City, Utah, 1974. Lecture Notes in Math. vol. 438 (1975), Springer, Berlin 195-211
    • (1975) Lecture Notes in Math. , vol.438 , pp. 195-211
    • Edwards, R.D.1
  • 7
    • 0001563863 scopus 로고
    • The topology of manifolds and cell-like maps
    • Helsinki, 1978, Acad. Sci. Fennica, Helsinki
    • Edwards R.D. The topology of manifolds and cell-like maps. Proc. Int. Congr. of Math. Helsinki, 1978 (1980), Acad. Sci. Fennica, Helsinki 111-127
    • (1980) Proc. Int. Congr. of Math. , pp. 111-127
    • Edwards, R.D.1
  • 8
    • 0038352128 scopus 로고    scopus 로고
    • Detecting codimension one manifold factors with the disjoint homotopies property
    • Halverson D.M. Detecting codimension one manifold factors with the disjoint homotopies property. Topology Appl. 117 3 (2002) 231-258
    • (2002) Topology Appl. , vol.117 , Issue.3 , pp. 231-258
    • Halverson, D.M.1
  • 9
    • 0842303686 scopus 로고    scopus 로고
    • 2-ghastly spaces with the disjoint homotopies property: The method of fractured maps
    • Halverson D.M. 2-ghastly spaces with the disjoint homotopies property: The method of fractured maps. Topology Appl. 138 1-3 (2004) 277-286
    • (2004) Topology Appl. , vol.138 , Issue.1-3 , pp. 277-286
    • Halverson, D.M.1
  • 10
    • 34247191388 scopus 로고    scopus 로고
    • Detecting codimension one manifold factors with 0-stitched disks
    • Halverson D.M. Detecting codimension one manifold factors with 0-stitched disks. Topology Appl. 154 9 (2007) 1993-1998
    • (2007) Topology Appl. , vol.154 , Issue.9 , pp. 1993-1998
    • Halverson, D.M.1
  • 11
    • 70149122391 scopus 로고    scopus 로고
    • The Bing-Borsuk and the Busemann conjectures
    • Halverson D.M., and Repovš D. The Bing-Borsuk and the Busemann conjectures. Math. Comm. 13 2 (2008) 163-184
    • (2008) Math. Comm. , vol.13 , Issue.2 , pp. 163-184
    • Halverson, D.M.1    Repovš, D.2
  • 12
    • 70149120520 scopus 로고
    • The recognition problem for topological manifolds
    • Krasinkiewicz J., Spież S., and Torunczyk H. (Eds), PWN, Warsaw
    • Repovš D. The recognition problem for topological manifolds. In: Krasinkiewicz J., Spież S., and Torunczyk H. (Eds). Geometric and Algebraic Topology (1986), PWN, Warsaw 77-108
    • (1986) Geometric and Algebraic Topology , pp. 77-108
    • Repovš, D.1
  • 13
    • 70149124528 scopus 로고
    • Detection of higher dimensional topological manifolds among topological spaces
    • Ferri M. (Ed). Bologna, 1990, Univ. degli Studi di Bologna
    • Repovš D. Detection of higher dimensional topological manifolds among topological spaces. In: Ferri M. (Ed). Giornate di Topologia e Geometria Delle Varietà. Bologna, 1990 (1992), Univ. degli Studi di Bologna 113-143
    • (1992) Giornate di Topologia e Geometria Delle Varietà , pp. 113-143
    • Repovš, D.1
  • 14
    • 84972518388 scopus 로고
    • The recognition problem for topological manifolds: A survey
    • Repovš D. The recognition problem for topological manifolds: A survey. Kodai Math. J. 17 3 (1994) 538-548
    • (1994) Kodai Math. J. , vol.17 , Issue.3 , pp. 538-548
    • Repovš, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.