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On Evaluation Subgroups of Generalized Homotopy Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
G(A, X) consists of all homotopy classes of cyclic maps from a space A to another space X. If A is an H-cogroup, then G(A, X) is a group. G(A, X) preserves products in the second variable and is a contravariant functor of A from the full subcategory of H-cogroups and maps into the category of abelian groups and homomorphisms. If X is an H-cogroup, then G(X, X) is a ring.
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- Copyright © Canadian Mathematical Society 1984
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