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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Statically tame periodic homeomorphisms of compact connected $ 3$-manifolds. II. Statically tame implies tame


Author: Edwin E. Moise
Journal: Trans. Amer. Math. Soc. 259 (1980), 255-280
MSC: Primary 57S17; Secondary 57Q15
MathSciNet review: 561836
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Abstract: Let f be a periodic homeomorphism $ M\, \leftrightarrow \,M$, where M is a compact connected 3-manifold (without boundary). Suppose that for each i, the fixed-point set of $ {f^i}$ is a tame set. Then f is simplicial, relative to some triangulation of M.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0561836-1
PII: S 0002-9947(1980)0561836-1
Keywords: Periodic homeomorphism, 3-manifold, fixed-point set
Article copyright: © Copyright 1980 American Mathematical Society