Directed homological and cohomological operations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914387777814528 |
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| author | Goubault, Eric |
| author_facet | Goubault, Eric |
| contents | In this short note, we present a persistence module approach to directed cohomology, dual to the directed homology introduced by the author in a previous article. We lay out the first properties of directed cohomology and in particular of cohomological operations, partially linked to some homological operations. We treat here both the case of a specific class of precubical sets and of general directed spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11967 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Directed homological and cohomological operations Goubault, Eric Algebraic Topology In this short note, we present a persistence module approach to directed cohomology, dual to the directed homology introduced by the author in a previous article. We lay out the first properties of directed cohomology and in particular of cohomological operations, partially linked to some homological operations. We treat here both the case of a specific class of precubical sets and of general directed spaces. |
| title | Directed homological and cohomological operations |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2603.11967 |