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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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Localizations and evaluation subgroups
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by George E. Lang PDF
Proc. Amer. Math. Soc. 50 (1975), 489-494 Request permission

Abstract:

If ${G_n}(X)$ is the $n$th evaluation subgroup of a simple connected finite $CW$-complex, then ${G_n}({X_p}) \cong {G_n}{(X)_p}$ for $p = 0$ or a prime.
References
  • Daniel Henry Gottlieb, Evaluation subgroups of homotopy groups, Amer. J. Math. 91 (1969), 729–756. MR 275424, DOI 10.2307/2373349
  • H. B. Haslam, $G$-spaces $\textrm {mod}\ F$ and $H$-spaces $\textrm {mod}\ F$, Duke Math. J. 38 (1971), 671–679. MR 287538
    • P. J. Hilton, G. Mislin and J. Roitberg, Homotopical localization (unpublished).
  • George E. Lang Jr., Evaluation subgroups of factor spaces, Pacific J. Math. 42 (1972), 701–709. MR 314043
    • D. Sullivan, Geometric topology. I: Localization, periodicity and Galois symmetry, M. I. T., June 1970 (mimeo).
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 50 (1975), 489-494
  • MSC: Primary 55D15
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0367986-0
  • MathSciNet review: 0367986