Locally-trivial bundles and microbundles with infinite-dimensional fibers

Chapman, T. A.

doi:10.1090/S0002-9939-1973-0312524-X

Locally-trivial bundles and microbundles with infinite-dimensional fibers
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Proc. Amer. Math. Soc. 37 (1973), 595-602 Request permission

Abstract:

The object of this note is to establish trivialization theorems for locally-trivial bundles and microbundles in which the fiber is any one of a large class of infinite-dimensional topological vector spaces and the base space is any paracompact space. These theorems generalize results of Henderson and Wong.

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On homeomorphisms of infinite-dimensional bundles