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Local Spaces with Three Cells as H-Spaces

Published online by Cambridge University Press:  20 November 2018

Nancy L. Hagelgans
Nancy L. Hagelgans*
Affiliation:
Ursinus College, Collegeville, Pennsylvania Bryn Mawr College, Bryn Mawr, Pennsylvania
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The question of which finite CW-complexes are if-spaces has been studied for many years. Since a finite CW-complex is an H-space if and only if its localization at each prime p is an H-space [21], an examination of finite local cell complexes as H-spaces yields results concerning CW-complexes. On the other hand, if it is known that a particular CW-complex is not an H-space, one would like to know for which primes p its localization at p fails to be an H-space. The main result of this paper gives a condition equivalent to a three cell local CW-complex's being an H-space for a prime p > 3.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 31 , Issue 6 , 01 December 1979 , pp. 1293 - 1306
Copyright
Copyright © Canadian Mathematical Society 1979

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