Open Access
January, 1999 Self homotopy groups of Hopf spaces with at most three cells
Mamoru MIMURA, Hideaki ŌSHIMA
J. Math. Soc. Japan 51(1): 71-92 (January, 1999). DOI: 10.2969/jmsj/05110071

Abstract

We prove that if X is aconnected H-space with at most three cells of positive dimension, then the self homotopy set of X becomes a group relative to the binary operation induced from any multiplication on X, and we determine it's group structure in some cases.

Citation

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Mamoru MIMURA. Hideaki ŌSHIMA. "Self homotopy groups of Hopf spaces with at most three cells." J. Math. Soc. Japan 51 (1) 71 - 92, January, 1999. https://doi.org/10.2969/jmsj/05110071

Information

Published: January, 1999
First available in Project Euclid: 10 June 2008

zbMATH: 0931.55005
MathSciNet: MR1661032
Digital Object Identifier: 10.2969/jmsj/05110071

Subjects:
Primary: 55P45
Secondary: 55Q05

Keywords: Hopf space , self homotopy set

Rights: Copyright © 1999 Mathematical Society of Japan

Vol.51 • No. 1 • January, 1999
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