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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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Submersions, fibrations and bundles
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by Gaël Meigniez PDF
Trans. Amer. Math. Soc. 354 (2002), 3771-3787 Request permission

Abstract:

When does a submersion have the homotopy lifting property? When is it a locally trivial fibre bundle? We establish characterizations in terms of consistency in the topology of the neighbouring fibres.
References
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Additional Information
  • Gaël Meigniez
  • Affiliation: Laboratoire de Mathématiques et d’Application des Mathématiques, Université de Bretagne Sud, Campus de Tohannic, Centre de recherche, F– 56017 Vannes Cedex, France
  • Email: Gael.Meigniez@univ-ubs.fr
  • Received by editor(s): September 1, 2001
  • Received by editor(s) in revised form: October 20, 2001
  • Published electronically: April 22, 2002
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 3771-3787
  • MSC (2000): Primary 55R05, 55R10
  • DOI: https://doi.org/10.1090/S0002-9947-02-02972-0
  • MathSciNet review: 1911521