Stable Homeomorphisms on Infinite Dimensional Normed Linear Spaces

D. W. Curtis, R. A. McCoy
1971 Proceedings of the American Mathematical Society  
R. Y. T. Wong has recently shown that all homeomorphisms on a connected manifold modeled on infinite-dimensional separable Hubert space are stable. In this paper we establish the stability of all homeomorphisms on a normed linear space E such that E is homeomorphic to the countable infinite product of copies of itself. The relationship between stability of homeomorphisms and a strong annulus conjecture is demonstrated and used to show that stability of all homeomorphisms on a normed linear
more » ... normed linear space E implies stability of all homeomorphisms on a connected manifold modeled on E, and that in such a manifold collared .E-cells are tame.
doi:10.2307/2037999 fatcat:yopopu2qw5evpiuvwhknjscspa