Directed Homology and Persistence Modules
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916347681701888 |
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| author | Goubault, Eric |
| author_facet | Goubault, Eric |
| contents | In this note, we give a self-contained account on a construction for a directed homology theory based on modules over algebras, linking it to both persistence homology and natural homology. We study its first properties, among which some exact sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07095 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Directed Homology and Persistence Modules Goubault, Eric Algebraic Topology In this note, we give a self-contained account on a construction for a directed homology theory based on modules over algebras, linking it to both persistence homology and natural homology. We study its first properties, among which some exact sequences. |
| title | Directed Homology and Persistence Modules |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2309.07095 |