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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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Local to global theorems in the theory of Hurewicz fibrations
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by James Arnold PDF
Trans. Amer. Math. Soc. 164 (1972), 179-188 Request permission

Abstract:

This paper is concerned with the problem of showing a local fibration is a fibration. There are two kinds of local to global theorems proven. The first type of theorem considers local fibrations where local is in terms of closed covers of the base (e.g. the set of closed simplices of a polyhedron, the cones of a suspension). The second type of theorem deals with local in terms of open covers of the total space.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 164 (1972), 179-188
  • MSC: Primary 55F05
  • DOI: https://doi.org/10.1090/S0002-9947-1972-0295349-7
  • MathSciNet review: 0295349