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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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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Keywords: Locally-trivial bundles, microbundles, infinite-dimensional topological vector spaces
Article copyright: © Copyright 1973 American Mathematical Society