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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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Approximation results in Hilbert cube manifolds
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by T. A. Chapman PDF
Trans. Amer. Math. Soc. 262 (1980), 303-334 Request permission

Abstract:

The purpose of this paper is to answer questions of the following type for maps $f: M \to N$ between Q-manifolds: When is f close to an approximate fibration? When is f close to a fiber bundle map? When is f close to a block bundle map? For the second and third questions a series of obstructions are encountered in the lower algebraic K-theoretic functors ${K_{ - i}}$ of Bass.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 262 (1980), 303-334
  • MSC: Primary 57N20; Secondary 55R05
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0586720-9
  • MathSciNet review: 586720