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Decomposition of $p$-complete $H$-spaces and related problems

Published online by Cambridge University Press:  24 February 2005

KAI XU
KAI XU
Affiliation:
Department of Mathematics, National University of Singapore, Singapore. e-mail: [email protected]
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Abstract

We work on based CW complexes of finite types. In this paper, we show that each $p$-complete $H$-space can be uniquely decomposed into the product of atomic spaces and that each $p$-complete suspension space can be written as the $p$-completion of the wedge of atomic spaces. We then discuss some related problems on atomic spaces.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 2 , March 2005 , pp. 263 - 266
Copyright
2005 Cambridge Philosophical Society

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