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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Approximate torus fibrations of high dimensional manifolds can be approximated by torus bundle projections
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by R. E. Goad PDF
Trans. Amer. Math. Soc. 258 (1980), 87-97 Request permission

Abstract:

In this paper, we prove that approximate torus fibrations of high dimensional manifolds can be approximated by torus bundle projections. The principal tools are the torus trick developed by Kirby and Siebenmann, a surgery theorem concerning homotopy structures on torii due to Hsiang and Wall, a theorem on the space of homeomorphisms of the torus due to Hamstrom and a generalization of hereditary homotopy equivalence developed by the author.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 258 (1980), 87-97
  • MSC: Primary 57N99; Secondary 55R65
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0554320-2
  • MathSciNet review: 554320