Contents

# Contents

## Definition

The action of a topological group $G$ on a topological space $X$ is called a proper action if the continuous function

$\array{ G \times X &\longrightarrow& X \times X \\ (g,x) &\mapsto& (g\cdot x, x) }$

## References

For instance

• Marja Kankaanrinta, Def. 2.1 in Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions, Algebr. Geom. Topol. Volume 7, Number 1 (2007), 1-27 (euclid:agt/1513796653)