Contents

Contents

Idea

A topological space $X$, or rather its homotopy type, is called simple if

1. the fundamental group $\pi_1(X)$ is abelian;

2. its canonical action on all higher homotopy groups $\pi_{\bullet \geq 2}(X)$ is trivial.

Examples

and thus, in particular,

Properties

Simple spaces are also nilpotent spaces (May-Ponto 12, p. 49 (77 of 542)).

References

Created on September 15, 2020 at 10:06:51. See the history of this page for a list of all contributions to it.