Covering Maps with respect to Topologies on the Fundamental Group
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908846880980992 |
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| author | Shahami, Naghme Mashayekhy, Behrooz |
| author_facet | Shahami, Naghme Mashayekhy, Behrooz |
| contents | In this paper, using the classical covering theory, we introduce a generalization of covering maps of a space $X$ with respect to a topology $τ$ on the fundamental group of $X$. We show that the famous notions, covering, semicovering, generalized covering and fibration maps are of special cases of this new notion $π_1^τ$-covering map. Moreover, among presenting some properties for this new notion, we compare $π_1^τ$-covering maps of a space $X$ for several famous topologies on the fundamental group of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18944 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Covering Maps with respect to Topologies on the Fundamental Group Shahami, Naghme Mashayekhy, Behrooz Algebraic Topology 57M10, 57M12, 57M05, 55Q05 In this paper, using the classical covering theory, we introduce a generalization of covering maps of a space $X$ with respect to a topology $τ$ on the fundamental group of $X$. We show that the famous notions, covering, semicovering, generalized covering and fibration maps are of special cases of this new notion $π_1^τ$-covering map. Moreover, among presenting some properties for this new notion, we compare $π_1^τ$-covering maps of a space $X$ for several famous topologies on the fundamental group of $X$. |
| title | Covering Maps with respect to Topologies on the Fundamental Group |
| topic | Algebraic Topology 57M10, 57M12, 57M05, 55Q05 |
| url | https://arxiv.org/abs/2602.18944 |