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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Loop spaces of finite complexes at large primes
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by C. A. McGibbon and C. W. Wilkerson
Proc. Amer. Math. Soc. 96 (1986), 698-702
DOI: https://doi.org/10.1090/S0002-9939-1986-0826505-X

Abstract:

Let $X$ be a finite, simply connected CW complex with only a finite number of nonzero rational homotopy groups. Localized away from a certain finite set of primes, the loop space of $X$ is shown to be homotopy equivalent to a product of spheres and loop spaces of spheres. Applications to the homotopy groups of $X$ and the homological properties of $\Omega X$ are given.
References
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 698-702
  • MSC: Primary 55Q52; Secondary 55P35
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0826505-X
  • MathSciNet review: 826505