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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Bundle theories for topological manifolds
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by C. B. Hughes, L. R. Taylor and E. B. Williams PDF
Trans. Amer. Math. Soc. 319 (1990), 1-65 Request permission

Abstract:

Manifold approximate fibrations arise in the geometric topology of manifolds and group actions on topological manifolds. The primary purpose of this paper is to classify manifold approximate fibrations in terms of the lifting problem for a certain bundle. Our classification meshes well with the classical classifications of fibrations and bundles and, hence, we are able to attack questions such as the following. When is a fibration controlled homotopy equivalent to a manifold approximate fibration? When is a manifold approximate fibration controlled homeomorphic to a bundle?
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 319 (1990), 1-65
  • MSC: Primary 57N55; Secondary 55R10, 55R35
  • DOI: https://doi.org/10.1090/S0002-9947-1990-1010410-8
  • MathSciNet review: 1010410