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Gottlieb Sets and Duality in Homotopy Theory

Published online by Cambridge University Press:  20 November 2018

I. G. Halbhavi  and
K. Varadarajan
I. G. Halbhavi
Affiliation:
The University of Calgary, Calgary, Alberta;
K. Varadarajan
Affiliation:
Tata Institute of Fundamental Research, Bombay—5, India
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Evaluation subgroups of the homotopy groups have been objects of extensive study recently by Gottlieb, Haslam, Jerrold Siegel, G. E. Lang (Jr), etc. In [8] one of the authors has introduced the notions of ‘cyclic' and ‘cocyclic’ maps and studied generalizations of evaluation subgroups and their duals in the set up of Eckmann-Hilton duality. This paper continues the study of these generalized Gottlieb and dual Gottlieb subsets. All the spaces, except the function spaces, will be arc connected locally compact CW-complexes with base point at a vertex. For any X, Y the set of base point preserving homotopy classes of maps of X to Y is denoted by [X, Y].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 1042 - 1055
Copyright
Copyright © Canadian Mathematical Society 1975

References

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