Homeomorphisms of Hilbert Cube Manifolds

T. A. Chapman
1973 Transactions of the American Mathematical Society  
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.
doi:10.2307/1996532 fatcat:fowdddeq2newtmtrgakf2vbn6q