Local Spaces with Three Cells as H-Spaces

Hagelgans, Nancy L.

Canadian journal of mathematics, Tome 31 (1979) no. 6, pp. 1293-1306

Résumé

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.

Détail

DOI : 10.4153/CJM-1979-107-2

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