On homeomorphisms of infinite dimensional bundles. III

Chapman, T. A.; Wong, R. Y. T.

doi:10.1090/S0002-9947-1974-0415627-X

On homeomorphisms of infinite dimensional bundles. III
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by T. A. Chapman and R. Y. T. Wong PDF

Trans. Amer. Math. Soc. 191 (1974), 269-276 Request permission

Abstract:

In this paper we continue the study of homeomorphisms and prove an analogue of the homeomorphism extension theorem for bundles modeled on Hilbert cube manifolds; thus we generalize previous results for Q-manifolds (Anderson-Chapman). This analogy, as in the case of manifolds, requires a consideration of proper maps and proper homotopies. The approach to the present problem is similar to that considered in our previous papers. Bear in mind several distinct difficulties occur in our setting.

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