Abstract
If $G$ is a toral group, i.e. an extension of a torus by a finite group, and $X$ is a $G$-CW complex we prove that there exists a $G$-homotopy equivalent CW complex $Y$ with the property that the action map $\rho : G\times Y \to Y$ is a cellular map.
Citation
Matija Cencelj. Neža Mramor Kosta. Aleš Vavpetič. "$G$-complexes with a compatible CW structure." J. Math. Kyoto Univ. 43 (3) 585 - 597, 2003. https://doi.org/10.1215/kjm/1250283696
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