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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On contractible orbifolds
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by Alexander Lytchak PDF
Proc. Amer. Math. Soc. 141 (2013), 3303-3304 Request permission

Abstract:

We prove that a contractible orbifold is a manifold.
References
  • Michael W. Davis, Lectures on orbifolds and reflection groups, Transformation groups and moduli spaces of curves, Adv. Lect. Math. (ALM), vol. 16, Int. Press, Somerville, MA, 2011, pp. 63–93. MR 2883685
  • André Haefliger, Groupoïdes d’holonomie et classifiants, Astérisque 116 (1984), 70–97 (French). Transversal structure of foliations (Toulouse, 1982). MR 755163
  • Allen Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002. MR 1867354
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Additional Information
  • Alexander Lytchak
  • Affiliation: Mathematisches Institut, Einsteinstrasse 62, 48149 Münster, Germany
  • Address at time of publication: Universität zu Köln, Mathematisches Institut, Weyertal 86-90, 50931 Köln, Germany
  • MR Author ID: 679338
  • Email: lytchak@math.uni-bonn.de, alytchak@math.uni-koeln.de
  • Received by editor(s): November 11, 2011
  • Received by editor(s) in revised form: November 23, 2011
  • Published electronically: May 16, 2013
  • Additional Notes: The author was supported by a Heisenberg grant of the DFG and by the SFB 878 Groups, Geometry and Actions
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 3303-3304
  • MSC (2010): Primary 57R18
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11708-9
  • MathSciNet review: 3068982