$\boldsymbol G$-CGWH SPACES AND THEIR (HOMOTOPY) COLIMITS
A. Miladinović
Abstract
In this paper we take a look at compactly generated weak Hausdorff spaces equipped with an action of a compact Lie group $G$ together with their colimits and homotopy colimits.
In particular, we investigate relations between (homotopy) colimits and mapping spaces, and consequently, homotopy groups.