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

Published online by Cambridge University Press:  24 February 2005

Department of Mathematics, National University of Singapore, Singapore. e-mail:


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.

Research Article
2005 Cambridge Philosophical Society

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