Homeomorphisms of Hilbert cube manifolds

Chapman, T. A.

doi:10.1090/S0002-9947-1973-0372863-8

Homeomorphisms of Hilbert cube manifolds
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Trans. Amer. Math. Soc. 182 (1973), 227-239 Request permission

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.

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