Applications of group actions on finite complexes to Hilbert cube manifolds
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- by Leon Stagg Newman
- Proc. Amer. Math. Soc. 62 (1977), 183-187
- DOI: https://doi.org/10.1090/S0002-9939-1977-0431236-9
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Abstract:
For any compact Hilbert cube manifold M such that ${\tilde H_\ast }(M,{Z_p})$, there exists an embedding g of M into the Hilbert cube Q such that $g(M)$ is the fixed point set of a semifree periodic homeomorphism of Q with period p. A counterexample is given to the conjecture that any two proper homotopic period p homeomorphisms of a Hilbert cube manifold such that the homeomorphisms revolve trivially about a unique fixed point are equivalent. A counterexample is also given for the case where the fixed point set is empty.References
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Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 183-187
- MSC: Primary 57E25; Secondary 57A20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0431236-9
- MathSciNet review: 0431236