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On cyclic maps

Published online by Cambridge University Press:  09 April 2009

K. L. Lim
K. L. Lim
Affiliation:
Department of Economics and Statistics, National University of Singapore, Singapore
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Abstract

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The definition of cyclic maps is recalled and their existence discussed. Among other things, it is shown that cyclicity of maps is closed under product and that if f is cyclic then Ωf is central.Some results of Gottlieb (1972) on homology are applied to investigate the relationship between cyclicity of maps and maps of finite order.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 3 , June 1982 , pp. 349 - 357
Copyright
Copyright © Australian Mathematical Society 1982

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