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Equivariant smoothing of piecewise linear manifolds

Published online by Cambridge University Press:  13 March 2017

CHRISTIAN LANGE
CHRISTIAN LANGE*
Affiliation:
Mathematisches Institut der Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany e-mail: clange@math.uni-koeln.de
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Abstract

We prove that every piecewise linear manifold of dimension up to four on which a finite group acts by piecewise linear homeomorphisms admits a compatible smooth structure with respect to which the group acts smoothly.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 164 , Issue 2 , March 2018 , pp. 369 - 380
Copyright
Copyright © Cambridge Philosophical Society 2017 

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