Characterizations of $G$-ANR spaces and inverse limits
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908759088955392 |
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| author | Antonyan, Sergey A. Kantún-Montiel, Aura Lucina Mata-Cano, Jesús Eduardo Mata-Romero, Armando |
| author_facet | Antonyan, Sergey A. Kantún-Montiel, Aura Lucina Mata-Cano, Jesús Eduardo Mata-Romero, Armando |
| contents | In this paper we prove that, for a compact group $G$, a metrizable $G$-space is a $G$-ANR under the following asumptions: (1) if it dominates a $G$-ANR space through a fine $G$-homotopy equivalence; (2) if it is $G$-homotopy dense in a $G$-ANR; (3) if it contains a $G$-ANR as a $G$-homotopy dense subset; (4) if it is the inverse limit of an inverse sequence of $G$-ANR spaces with bonding maps that are fine $G$-homotopy equivalences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07027 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characterizations of $G$-ANR spaces and inverse limits Antonyan, Sergey A. Kantún-Montiel, Aura Lucina Mata-Cano, Jesús Eduardo Mata-Romero, Armando Geometric Topology Algebraic Topology General Topology 54C55, 55M15, 55P10, 55P91, 54H15 In this paper we prove that, for a compact group $G$, a metrizable $G$-space is a $G$-ANR under the following asumptions: (1) if it dominates a $G$-ANR space through a fine $G$-homotopy equivalence; (2) if it is $G$-homotopy dense in a $G$-ANR; (3) if it contains a $G$-ANR as a $G$-homotopy dense subset; (4) if it is the inverse limit of an inverse sequence of $G$-ANR spaces with bonding maps that are fine $G$-homotopy equivalences. |
| title | Characterizations of $G$-ANR spaces and inverse limits |
| topic | Geometric Topology Algebraic Topology General Topology 54C55, 55M15, 55P10, 55P91, 54H15 |
| url | https://arxiv.org/abs/2601.07027 |