COHOMOLOGY AND TRIVIAL GOTTLIEB GROUPS

Title & Authors
COHOMOLOGY AND TRIVIAL GOTTLIEB GROUPS
Lee, Kee-Young;

Abstract
This paper observes that the induced homomorphisms on cohomology groups by a cyclic map are trivial. For a CW-complex X, we use the fact to obtain some conditions of X so that the n-th Gottlieb group $\small{G_n(X)}$ is trivial for an even positive integer n. As corollaries, for any positive integer m, we obtain \$G_{2m}(S^{2m})\;
Keywords
evaluation subgroup;Gottlieb group;cyclic map;
Language
English
Cited by
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