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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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An approximation to $\Omega ^{n}\Sigma ^{n}X$
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by J. Caruso and S. Waner PDF
Trans. Amer. Math. Soc. 265 (1981), 147-162 Request permission

Abstract:

For an arbitrary (nonconnected) based space $X$, a geometrical construction ${\tilde C_n}X$ is given, such that ${\tilde C_n}X$ is weakly homotopy-equivalent to ${\Omega ^n}{\Sigma ^n}X$ as a ${\mathcal {C}_n}$-space.
References
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 265 (1981), 147-162
  • MSC: Primary 55P35; Secondary 55P40
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0607113-2
  • MathSciNet review: 607113