On homeomorphisms of infinite dimensional bundles. II
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- by T. A. Chapman and R. Y. T. Wong PDF
- Trans. Amer. Math. Soc. 191 (1974), 261-268 Request permission
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.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 191 (1974), 261-268
- MSC: Primary 57A20; Secondary 58B05
- DOI: https://doi.org/10.1090/S0002-9947-1974-0415626-8
- MathSciNet review: 0415626