Homeomorphisms of Hilbert cube manifolds-Reference-Cited by-同舟云学术

Homeomorphisms of Hilbert cube manifolds

Published:1973 Issue:0 Volume:182 Page:227-239
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Chapman T. A.

Abstract

It is shown in this paper that the homeomorphism group of any compact Hubert cube manifold is locally contractible. The proof uses some standard infinite-dimensional techniques along with an infinite-dimensional version of the torus-homeomorphism idea which was used by Edwards and Kirby to establish a corresponding finite-dimensional result.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1973-182-00/S0002-9947-1973-0372863-8/S0002-9947-1973-0372863-8.pdf

Reference15 articles.

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4. W. Barit, Some properties of certain subsets of infinite-dimensional spaces, Doctoral Dissertation, Louisiana State University, Baton Rouge, La., 1971.

5. Locally flat imbeddings of topological manifolds;Brown, Morton;Ann. of Math. (2),1962

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