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 MR 287538 P. J. Hilton, G. Mislin and J. Roitberg, Homotopical localization (unpublished).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).
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