$G\operatorname{-CGWH}$ spaces and their (homotopy) colimits
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915464352890880 |
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| author | Miladinović, Aleksandar |
| author_facet | Miladinović, Aleksandar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19037 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $G\operatorname{-CGWH}$ spaces and their (homotopy) colimits Miladinović, Aleksandar Algebraic Topology 55P91, 55U40, 18A30, 54B30 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. |
| title | $G\operatorname{-CGWH}$ spaces and their (homotopy) colimits |
| topic | Algebraic Topology 55P91, 55U40, 18A30, 54B30 |
| url | https://arxiv.org/abs/2508.19037 |