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Cocyclic Maps and Coevaluation Subgroups

Published online by Cambridge University Press:  20 November 2018

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

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For any space X, DG(X, A) is an abelian subgroup of [X, A] when A is an H-group. DG(X, X) is a ring for any H-group X.

Keywords

Cocyclic mapsH-groupscoevaluation subgroups55E05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 1 , 01 March 1987 , pp. 63 - 71
Copyright
Copyright © Canadian Mathematical Society 01

References

1. Arkowitz, M., The generalized Whitehead product, Pacific J. Math. 12 (1962), 7 — 23.Google Scholar
2. Arkowitz, M. and Curjel, C.R., On maps of Espaces, Topology 6 (1967), 137–148.Google Scholar
3. Ganea, T., Induced Fibrations and cofibrations, Trans. Amer. Math. Soc. 127 (1967), 442–459.Google Scholar
4. Gottlieb, D.H., The evaluation map and homology, Michigan Math. J. 19 (1972), 289–297.Google Scholar
5. Halbhavi, I.G. and Varadarajan, K., Gottlieb sets and duality in homotopy theory, Canadian Journal of Math. 27(1975), 1042–1055.Google Scholar
6. Haslam, H., G-spaces and H-spaces, Ph.D. dissertation, University of California, Irvine (1969).Google Scholar
7. Hilton, P.J., Homotopy Theory and Duality, (Nelson, London, 1967).Google Scholar
8. Hoo, C.S., On the suspension of an H-space, Duke Math. J. 36 (1969), 315–324.Google Scholar
9. Hoo, C.S., Cyclic maps from suspensions to suspensions, Can. J. Math. 24 (1972), 789—791.Google Scholar
10. Lim, K.L., On cyclic maps, J. Aust. Math. Soc. (series A) 32 (1982), 349-357.Google Scholar
11. Lim, K.L., On evaluation subgroups of generalized homotopy groups, Can. Math. Bull. 27(1) (1984), 78-86.Google Scholar
12. Varadarajan, K., Generalized Gottlieb groups, J. Ind. Math. Soc. 33 (1969), 141–164.Google Scholar