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T-spaces by the Gottlieb groups and duality

Part of: Homotopy theory

Published online by Cambridge University Press:  09 April 2009

Moo Ha Woo  and
Yeon Soo Yoon
Moo Ha Woo
Affiliation:
Department of Mathematics Education, Korea University, 136-075, Seoul, Korea
Yeon Soo Yoon
Affiliation:
Department of Mathematics, Hannam University, 300-791, Taejon, Korea
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Abstract

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It is shown that all the generalized Whitehead products vanish in X and all the components of XΣA have the same homotopy type when X is a T-space. It is also shown that any T-space is a G-space. The dual spaces of T-spaces are introduced and studied.

Keywords

cyclic mapscocyclic mapsT-spacesco-T-spaces.

MSC classification

Secondary: 55P45: $H$-spaces and duals 55P35: Loop spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 2 , October 1995 , pp. 193 - 203
Copyright
Copyright © Australian Mathematical Society 1995

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