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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On composite loop functors
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by K. A. Hardie PDF
Proc. Amer. Math. Soc. 37 (1973), 586-588 Request permission

Abstract:

P is a space with two points in a certain convenient category CG of pointed topological spaces. If $T:CG \to CG$ is a P-functor and $X \in CG$, we establish a homotopy equivalence $\Omega TX \simeq \Omega T \ast \times \Omega (X \wedge F)$, where F is the fibre of $T( \ast ):TP \to T \ast$.
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 37 (1973), 586-588
  • MSC: Primary 55F05
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0314045-7
  • MathSciNet review: 0314045