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Volumn 12, Issue 1, 1996, Pages 187-275

Good metric spaces without good parameterizations

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EID: 0030306796     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/198     Document Type: Article
Times cited : (50)

References (56)
  • 1
    • 0003273669 scopus 로고
    • Cellular decompositions of 3-manifolds that yield 3-manifolds
    • [Ar] Armentrout, S., Cellular decompositions of 3-manifolds that yield 3-manifolds. Memoirs Amer. Math. Soc. 107 (1971).
    • (1971) Memoirs Amer. Math. Soc. , vol.107
    • Armentrout, S.1
  • 5
    • 0011543379 scopus 로고
    • Quasisymmetric embeddings of products of cells into the Euclidean space
    • [AV] Alestalo, P., Väisälä, J., Quasisymmetric embeddings of products of cells into the Euclidean space. Ann. Acad. Sci. Fenn. Ser. A I Math. 19 (1994), 375-392.
    • (1994) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.19 , pp. 375-392
    • Alestalo, P.1    Väisälä, J.2
  • 6
    • 0011546099 scopus 로고
    • A homeomorphism between the 3-sphere and the sum of two solid horned spheres
    • Bing, R. H., A homeomorphism between the 3-sphere and the sum of two solid horned spheres. Ann. of Math. 56 (1952), 354-362.
    • (1952) Ann. of Math. , vol.56 , pp. 354-362
    • Bing, R.H.1
  • 10
    • 38149143529 scopus 로고
    • Shrinking without lengthening
    • Bing, R. H., Shrinking without lengthening. Topology 27 (1988), 487-493.
    • (1988) Topology , vol.27 , pp. 487-493
    • Bing, R.H.1
  • 11
    • 84966210732 scopus 로고
    • An explicit family of exotic Casson handles
    • [Bi] Bižaca, Ž., An explicit family of exotic Casson handles. Proc. Amer. Math. Soc. 123 (1995), 1297-1302.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 1297-1302
    • Bižaca, Z.1
  • 14
    • 0000550233 scopus 로고
    • The recognition problem: What is a topological manifold?
    • Cannon, J., 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.1
  • 15
    • 0005541251 scopus 로고
    • The characterization of topological manifolds of dimension n ≥ 5
    • Cannon, J., The characterization of topological manifolds of dimension n ≥ 5. Proceedings I.C.M., Helsinki (1978), 449-454.
    • (1978) Proceedings I.C.M., Helsinki , pp. 449-454
    • Cannon, J.1
  • 16
    • 0002439897 scopus 로고
    • Shrinking cell-like decompositions of manifolds: Codimension 3
    • Cannon, J., Shrinking cell-like decompositions of manifolds: codimension 3. Ann. of Math. 110 (1979), 83-112.
    • (1979) Ann. of Math. , vol.110 , pp. 83-112
    • Cannon, J.1
  • 17
    • 0003451932 scopus 로고
    • Analyse harmonique non-commutative sur certains espaces homogènes
    • Springer-Verlag
    • Coifman, R. Weiss, G., Analyse Harmonique Non-commutative sur Certains Espaces Homogènes. Lecture Notes in Math. 242, Springer-Verlag, 1971.
    • (1971) Lecture Notes in Math. , vol.242
    • Coifman, R.1    Weiss, G.2
  • 18
    • 84966261604 scopus 로고
    • Extensions of Hardy spaces and their use in analysis
    • Coifman, R., Weiss, G., Extensions of Hardy spaces and their use in analysis. Bull. Amer. Math. Soc. 83 (1977), 569-645.
    • (1977) Bull. Amer. Math. Soc. , vol.83 , pp. 569-645
    • Coifman, R.1    Weiss, G.2
  • 19
    • 84972488123 scopus 로고
    • An imbedding theorem
    • [Cu] Curtis, M., An imbedding theorem. Duke Math. J. 24 (1957), 349-352.
    • (1957) Duke Math. J. , vol.24 , pp. 349-352
    • Curtis, M.1
  • 21
    • 0003279962 scopus 로고
    • Wavelets and singular integrals on curves and surfaces
    • Springer-Verlag
    • [Da] David, G., Wavelets and Singular Integrals on Curves and Surfaces. Lecture Notes in Math. 1465, Springer-Verlag, 1991.
    • (1991) Lecture Notes in Math. , vol.1465
    • David, G.1
  • 22
    • 0000024241 scopus 로고
    • ∞-weights, Sobolev inequalities, and quasiconformal mappings
    • In Analysis and Partial Differential Equations, edited by C. Sadosky, Marcel Dekker
    • ∞-weights, Sobolev inequalities, and quasiconformal mappings. In Analysis and Partial Differential Equations, edited by C. Sadosky, Lecture Notes in Pure and Appl. Math. 122, Marcel Dekker, 1990.
    • (1990) Lecture Notes in Pure and Appl. Math. , vol.122
    • David, G.1    Semmes, S.2
  • 23
    • 0003280313 scopus 로고
    • n: Au-delà des graphes lipschitziens
    • Soc. Math. France
    • n: au-delà des graphes lipschitziens. Astérisque 193, Soc. Math. France, 1991.
    • (1991) Astérisque , vol.193
    • David, G.1    Semmes, S.2
  • 24
    • 84968497861 scopus 로고
    • Quantitative rectifiability and Lipschitz mappings
    • David, G., Semmes, S., Quantitative rectifiability and Lipschitz mappings. Trans. Amer. Math. Soc. 337 (1993), 855-889.
    • (1993) Trans. Amer. Math. Soc. , vol.337 , pp. 855-889
    • David, G.1    Semmes, S.2
  • 25
    • 0003211662 scopus 로고
    • Analysis of and on uniformly rectifiable sets
    • Amer. Math. Soc.
    • David, G., Semmes, S., Analysis of and on Uniformly Rectifiable Sets. Math. Surveys and Monographs 38, Amer. Math. Soc., 1993.
    • (1993) Math. Surveys and Monographs , vol.38
    • David, G.1    Semmes, S.2
  • 26
    • 85157123644 scopus 로고    scopus 로고
    • David, G., Semmes, S., to exist
    • David, G., Semmes, S., to exist.
  • 27
    • 0000254693 scopus 로고
    • Quasiconformal 4-manifolds
    • [DoS] Donaldson, S., Sullivan, D., Quasiconformal 4-manifolds. Acta Math. 163 (1989), 181-252.
    • (1989) Acta Math. , vol.163 , pp. 181-252
    • Donaldson, S.1    Sullivan, D.2
  • 28
    • 0001563863 scopus 로고
    • The topology of manifolds and cell-like maps
    • [E] Edwards, E., The topology of manifolds and cell-like maps. Proceedings I.C.M., Helsinki (1978), 111-127.
    • (1978) Proceedings I.C.M., Helsinki , pp. 111-127
    • Edwards, E.1
  • 30
    • 84974000409 scopus 로고
    • Topological finiteness theorems for manifolds in Gromov-Hausdorff space
    • Ferry, S., Topological finiteness theorems for manifolds in Gromov-Hausdorff space. Duke Math. J. 74 (1994), 95-106.
    • (1994) Duke Math. J. , vol.74 , pp. 95-106
    • Ferry, S.1
  • 32
    • 84972496726 scopus 로고
    • The topology of four-dimensional manifolds
    • [Fr] Freedman, M. H., The topology of four-dimensional manifolds. F. Diff. Geometry 17 (1982), 357-453.
    • (1982) F. Diff. Geometry , vol.17 , pp. 357-453
    • Freedman, M.H.1
  • 33
    • 84972527009 scopus 로고
    • Strange actions of groups on spheres
    • [FS] Freedman, M., Skora, R., Strange actions of groups on spheres. J. Diff. Geom. 25 (1987), 75-98.
    • (1987) J. Diff. Geom. , vol.25 , pp. 75-98
    • Freedman, M.1    Skora, R.2
  • 34
    • 0002038388 scopus 로고
    • p integrability of the partial derivatives of a quasiconformal mapping
    • p integrability of the partial derivatives of a quasiconformal mapping. Acta Math. 130 (1973), 265-277.
    • (1973) Acta Math. , vol.130 , pp. 265-277
    • Gehring, F.W.1
  • 35
    • 84974000736 scopus 로고
    • Little topology, big volume
    • [GP] Greene, R., Petersen V, P., Little topology, big volume. Duke. Math. J. 67 (1992), 273-290.
    • (1992) Duke. Math. J. , vol.67 , pp. 273-290
    • Greene, R.1    Petersen, V.P.2
  • 36
    • 0000976022 scopus 로고
    • Geometric finiteness theorems via controlled topology
    • erratum, 104 (1991), 221-222
    • [GPW] Grove, K., Petersen V, P., Wu, J.-Y., Geometric finiteness theorems via controlled topology. Invent. Math. 99 (1990), 205-213; erratum, 104 (1991), 221-222.
    • (1990) Invent. Math. , vol.99 , pp. 205-213
    • Grove, K.1    Petersen, V.P.2    Wu, J.-Y.3
  • 37
    • 0002392641 scopus 로고
    • Definitions of quasiconformality
    • [HK] Heinonen, J., Koskela, P., Definitions of quasiconformality. Invent. Math. 120 (1995), 61-79.
    • (1995) Invent. Math. , vol.120 , pp. 61-79
    • Heinonen, J.1    Koskela, P.2
  • 38
    • 0000695497 scopus 로고
    • Strongly uniform domains and periodic quasiconformal maps
    • [HY] Heinonen, J., Yang, S., Strongly uniform domains and periodic quasiconformal maps. Ann. Acad. Sci. Fenn. Ser. A I Math. 20 (1995), 123-148.
    • (1995) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.20 , pp. 123-148
    • Heinonen, J.1    Yang, S.2
  • 39
    • 0003338950 scopus 로고
    • The topology of 4-manifolds
    • Springer-Verlag
    • [K] Kirby, R., The Topology of 4-manifolds. Lecture Notes in Math. 1374, Springer-Verlag, 1989.
    • (1989) Lecture Notes in Math. , vol.1374
    • Kirby, R.1
  • 40
    • 0001520920 scopus 로고
    • Gromov-Hausdorff convergence of metric spaces
    • [P] Petersen V, P., Gromov-Hausdorff convergence of metric spaces. Proc. Symp. Pure Math. 54 (1993), 489-504.
    • (1993) Proc. Symp. Pure Math. , vol.54 , pp. 489-504
    • Petersen, V.P.1
  • 41
    • 34250144394 scopus 로고
    • Resolutions of manifolds, and the topological characterization of manifolds
    • Quinn, F., Resolutions of manifolds, and the topological characterization of manifolds. Invent. Math. 72 (1983), 267-284.
    • (1983) Invent. Math. , vol.72 , pp. 267-284
    • Quinn, F.1
  • 42
    • 0001667031 scopus 로고
    • An obstruction to the resolution of homology manifolds
    • Quinn, F., An obstruction to the resolution of homology manifolds. Michigan Math. J. 301 (1987), 285-292.
    • (1987) Michigan Math. J. , vol.301 , pp. 285-292
    • Quinn, F.1
  • 43
    • 4244094624 scopus 로고
    • n (without bounds on their smoothness)
    • n (without bounds on their smoothness). Indiana Math. J. 39 (1990), 985-1004.
    • (1990) Indiana Math. J. , vol.39 , pp. 985-1004
    • Semmes, S.1
  • 44
    • 0001498001 scopus 로고
    • Chord-arc surfaces with small constant II: Good parameterizations
    • Semmes, S., Chord-arc surfaces with small constant II: Good parameterizations. Advances in Math. 88 (1991), 170-199.
    • (1991) Advances in Math. , vol.88 , pp. 170-199
    • Semmes, S.1
  • 46
    • 0002180640 scopus 로고
    • Finding structure in sets with little smoothness
    • To appear in Birkhäuser
    • Semmes, S., Finding structure in sets with little smoothness. To appear in Proc. I.C.M., Zürich (1994), Birkhäuser.
    • (1994) Proc. I.C.M., Zürich
    • Semmes, S.1
  • 48
    • 0000226244 scopus 로고
    • On complexes that are Lipschitz manifolds
    • J. Cantrell, ed., Academic Press
    • [SS] Siebenmann, L., Sullivan, D., On complexes that are Lipschitz manifolds. In Geometric Topology, J. Cantrell, ed., Academic Press, 1979, 503-525.
    • (1979) Geometric Topology , pp. 503-525
    • Siebenmann, L.1    Sullivan, D.2
  • 50
    • 84972499774 scopus 로고
    • 2 are Lipschitz manifolds
    • 2 are Lipschitz manifolds. J. Diff. Geom. 39 (1994), 65-102.
    • (1994) J. Diff. Geom. , vol.39 , pp. 65-102
    • Toro, T.1
  • 51
    • 84974004393 scopus 로고
    • Geometric conditions and existence of bilipschitz parameterizations
    • Toro, T., Geometric conditions and existence of bilipschitz parameterizations. Duke Math. J. 77 (1995), 193-227.
    • (1995) Duke Math. J. , vol.77 , pp. 193-227
    • Toro, T.1
  • 52
    • 0002461971 scopus 로고
    • The planar Schönflies theorem for Lipschitz maps
    • Tukia, P., The planar Schönflies theorem for Lipschitz maps. Ann. Acad. Sci. Fenn. Ser. A I Math. 5 (1980), 49-72.
    • (1980) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.5 , pp. 49-72
    • Tukia, P.1
  • 53
    • 0000398510 scopus 로고
    • A quasiconformal group not isomorphic to a Möbius group
    • Tukia, P., A quasiconformal group not isomorphic to a Möbius group. Ann. Acad. Sci. Fenn. Ser. A I Math. 6 (1981), 149-160.
    • (1981) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.6 , pp. 149-160
    • Tukia, P.1
  • 55
    • 0001163189 scopus 로고
    • Quasisymmetric maps of products of curves into the plane
    • Väisälä, J., Quasisymmetric maps of products of curves into the plane. Rev. Roumaine Math. Pures Appl. 33 (1988), 147-156.
    • (1988) Rev. Roumaine Math. Pures Appl. , vol.33 , pp. 147-156
    • Väisälä, J.1


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