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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On homeomorphisms of infinite dimensional bundles. II

Authors: T. A. Chapman and R. Y. T. Wong
Journal: Trans. Amer. Math. Soc. 191 (1974), 261-268
MSC: Primary 57A20; Secondary 58B05
MathSciNet review: 0415626
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Abstract: This paper presents some aspects of homeomorphism theory in the setting of (fibre) bundles modeled on separable Hilbert manifolds and generalizes results previously established. The main result gives a characterization of subsets of infinite deficiency in a bundle by means of their restriction to the fibres, from which we are able to prove theorems of the following types: (a) mapping replacement, (b) separation of sets, (c) negligibility of subsets, and (d) extending homeomorphisms.

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Keywords: Bundle, polyhedron, homeomorphism, ambient isotopy
Article copyright: © Copyright 1974 American Mathematical Society

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