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arXiv · 2508.19037

$G\operatorname{-CGWH}$ spaces and their (homotopy) colimits

Aleksandar Miladinović
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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.

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Aleksandar Miladinović. 2025-08-26. $G\operatorname{-CGWH}$ spaces and their (homotopy) colimits. https://arxiv.org/abs/2508.19037

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