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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Manifolds with no periodic homeomorphisms


Author: Edward M. Bloomberg
Journal: Trans. Amer. Math. Soc. 202 (1975), 67-78
MSC: Primary 57E25
MathSciNet review: 0358842
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Abstract: An analysis of the ends of the universal cover of the connected sum of two aspherical manifolds leads to the construction of a class of closed manifolds with no nontrivial periodic homeomorphisms.


References [Enhancements On Off] (What's this?)

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  • [2] S. Mac Lane, Homology, Die Grundlehren der math. Wissenschaften, Band 114, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #122.
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  • [4] F. Raymond, The end point compactification of manifolds, Pacific J. Math. 10 (1960), 947-963. MR 22 #11387. MR 0120637 (22:11387)
  • [5] D. Sullivan, unpublished.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1975-0358842-7
Keywords: Aspherical manifolds, Freudenthal end point compactification, connected sums, free products, outer automorphism group
Article copyright: © Copyright 1975 American Mathematical Society