Locally-trivial bundles and microbundles with infinite-dimensional fibers

Author:
T. A. Chapman

Journal:
Proc. Amer. Math. Soc. **37** (1973), 595-602

MSC:
Primary 57A20; Secondary 55F60

MathSciNet review:
0312524

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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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1973-0312524-X

Keywords:
Locally-trivial bundles,
microbundles,
infinite-dimensional topological vector spaces

Article copyright:
© Copyright 1973
American Mathematical Society