Cofibration category of digraphs for path homology
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915686948798464 |
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| author | Carranza, Daniel Doherty, Brandon Kapulkin, Chris Opie, Morgan Sarazola, Maru Wong, Liang Ze |
| author_facet | Carranza, Daniel Doherty, Brandon Kapulkin, Chris Opie, Morgan Sarazola, Maru Wong, Liang Ze |
| contents | We prove that the category of directed graphs and graph maps carries a cofibration category structure in which the weak equivalences are the graph maps inducing isomorphisms on path homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_12568 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cofibration category of digraphs for path homology Carranza, Daniel Doherty, Brandon Kapulkin, Chris Opie, Morgan Sarazola, Maru Wong, Liang Ze Combinatorics Algebraic Topology Category Theory 05C20, 18N45 (primary), 18N40, 55U35 (secondary) We prove that the category of directed graphs and graph maps carries a cofibration category structure in which the weak equivalences are the graph maps inducing isomorphisms on path homology. |
| title | Cofibration category of digraphs for path homology |
| topic | Combinatorics Algebraic Topology Category Theory 05C20, 18N45 (primary), 18N40, 55U35 (secondary) |
| url | https://arxiv.org/abs/2212.12568 |