Topological orbifolds

Farsi, Carla

doi:10.1090/S0002-9939-1993-1198455-7

Topological orbifolds

Author: Carla Farsi
Journal: Proc. Amer. Math. Soc. 119 (1993), 761-764
MSC: Primary 57S25; Secondary 19K56, 46L80, 57P99
DOI: https://doi.org/10.1090/S0002-9939-1993-1198455-7
MathSciNet review: 1198455
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Abstract: We show that two topologically homeomorphic orbifolds are also Lipshitz homeomorphic. We then prove that the -class of a good orbifold with finite fundamental group depends only on the topological structure.

[1] Carla Farsi, 𝐾-theoretical index theorems for orbifolds, Quart. J. Math. Oxford Ser. (2) 43 (1992), no. 170, 183–200. MR 1164622, https://doi.org/10.1093/qmath/43.2.183
[2] Carla Farsi, 𝐾-theoretical index theorems for good orbifolds, Proc. Amer. Math. Soc. 115 (1992), no. 3, 769–773. MR 1127139, https://doi.org/10.1090/S0002-9939-1992-1127139-5
[3] Michel Hilsum, Opérateurs de signature sur une variété lipschitzienne et modules de Kasparov non bornés, C. R. Acad. Sci. Paris Sér. I Math. 297 (1983), no. 1, 49–52 (French, with English summary). MR 719945
[4] Michel Hilsum, Fonctorialité en 𝐾-théorie bivariante pour les variétés lipschitziennes, 𝐾-Theory 3 (1989), no. 5, 401–440 (French, with English summary). MR 1050489, https://doi.org/10.1007/BF00534136
[5] Tetsuro Kawasaki, The signature theorem for 𝑉-manifolds, Topology 17 (1978), no. 1, 75–83. MR 0474432, https://doi.org/10.1016/0040-9383(78)90013-7
[6] J. Rosenberg and S. Weinberger, Higher -indices (on smooth and Lipschitz manifolds) and applications, preprint.
[7] Mel Rothenberg and Shmuel Weinberger, Group actions and equivariant Lipschitz analysis, Bull. Amer. Math. Soc. (N.S.) 17 (1987), no. 1, 109–112. MR 888883, https://doi.org/10.1090/S0273-0979-1987-15525-X