The fundamental group in discrete homotopy theory
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866917158315884544 |
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| author | Kapulkin, Chris Mavinkurve, Udit |
| author_facet | Kapulkin, Chris Mavinkurve, Udit |
| contents | We develop a robust foundation for studying the fundamental group(oid) in discrete homotopy theory, including: equivalent definitions and basic properties, the theory of covering graphs, and the discrete version of the Seifert-van Kampen theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_06029 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The fundamental group in discrete homotopy theory Kapulkin, Chris Mavinkurve, Udit Combinatorics Algebraic Topology Category Theory 05C38 (primary), 55Q99, 05C63 (secondary) We develop a robust foundation for studying the fundamental group(oid) in discrete homotopy theory, including: equivalent definitions and basic properties, the theory of covering graphs, and the discrete version of the Seifert-van Kampen theorem. |
| title | The fundamental group in discrete homotopy theory |
| topic | Combinatorics Algebraic Topology Category Theory 05C38 (primary), 55Q99, 05C63 (secondary) |
| url | https://arxiv.org/abs/2303.06029 |