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On Evaluation Subgroups of Generalized Homotopy Groups

Published online by Cambridge University Press:  20 November 2018

K. L. Lim
K. L. Lim*
Affiliation:
Department of Economics And Statistics National University of Singapore Kent Ridge, Singapore 0511
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Abstract

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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.

Keywords

55E05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 78 - 86
Copyright
Copyright © Canadian Mathematical Society 1984

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