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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.00727 |
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| _version_ | 1866917508268687360 |
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| author | Carcacía-Campos, Isaac Macías-Virgós, Enrique Mosquera-Lois, David |
| author_facet | Carcacía-Campos, Isaac Macías-Virgós, Enrique Mosquera-Lois, David |
| contents | We prove that for a bifibration P between small categories, the lenght of the cup product in the kernel of the induced morphism in the Baues-Wirsching cohomology with coefficients in any natural system is a lower bound for the homotopic sectional category (also called Svarc genus). Our results extend classical Svarc type inequalties to the categorical setting and introduce a computationally efficient method via a reduced cochain complex for Baues-Wirching cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00727 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Baues-Wirsching Cohomology and Svarc Genus in Small Categories Carcacía-Campos, Isaac Macías-Virgós, Enrique Mosquera-Lois, David Category Theory Algebraic Topology We prove that for a bifibration P between small categories, the lenght of the cup product in the kernel of the induced morphism in the Baues-Wirsching cohomology with coefficients in any natural system is a lower bound for the homotopic sectional category (also called Svarc genus). Our results extend classical Svarc type inequalties to the categorical setting and introduce a computationally efficient method via a reduced cochain complex for Baues-Wirching cohomology. |
| title | Baues-Wirsching Cohomology and Svarc Genus in Small Categories |
| topic | Category Theory Algebraic Topology |
| url | https://arxiv.org/abs/2508.00727 |