Self homotopy groups of Hopf spaces with at most three cells
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.
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1213108352
Digital Object Identifier: doi:10.2969/jmsj/05110071
Mathematical Reviews number (MathSciNet): MR1661032
Zentralblatt MATH identifier: 0931.55005