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Transactions of the American Mathematical Society

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

 

 

On homeomorphisms of infinite dimensional bundles. III


Authors: T. A. Chapman and R. Y. T. Wong
Journal: Trans. Amer. Math. Soc. 191 (1974), 269-276
MSC: Primary 57A20; Secondary 58B05
MathSciNet review: 0415627
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Abstract: In this paper we continue the study of homeomorphisms and prove an analogue of the homeomorphism extension theorem for bundles modeled on Hilbert cube manifolds; thus we generalize previous results for Q-manifolds (Anderson-Chapman). This analogy, as in the case of manifolds, requires a consideration of proper maps and proper homotopies. The approach to the present problem is similar to that considered in our previous papers. Bear in mind several distinct difficulties occur in our setting.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0415627-X
Keywords: Hilbert cube manifolds, bundles, B-preserving homeomorphism, extension, mapping replacement, separation
Article copyright: © Copyright 1974 American Mathematical Society