### Self homotopy groups of Hopf spaces with at most three cells

Mamoru MIMURA and Hideaki ŌSHIMA
Source: J. Math. Soc. Japan Volume 51, Number 1 (1999), 71-92.

#### 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.

First Page:
Primary Subjects: 55P45
Secondary Subjects: 55Q05
Full-text: Open access