The Hurewicz theorem for cubical homology
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866912016534339584 |
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| author | Carranza, Daniel Kapulkin, Chris Tonks, Andrew |
| author_facet | Carranza, Daniel Kapulkin, Chris Tonks, Andrew |
| contents | We give an elementary proof of the Hurewicz theorem relating homotopy and homology groups of a cubical Kan complex. Our approach is based on the notion of a loop space of a cubical set, developed in a companion paper ``Homotopy groups of cubical sets'' by the first two authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_12500 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Hurewicz theorem for cubical homology Carranza, Daniel Kapulkin, Chris Tonks, Andrew Algebraic Topology 55N10 (primary), 55P35, 55U35 (secondary) We give an elementary proof of the Hurewicz theorem relating homotopy and homology groups of a cubical Kan complex. Our approach is based on the notion of a loop space of a cubical set, developed in a companion paper ``Homotopy groups of cubical sets'' by the first two authors. |
| title | The Hurewicz theorem for cubical homology |
| topic | Algebraic Topology 55N10 (primary), 55P35, 55U35 (secondary) |
| url | https://arxiv.org/abs/2207.12500 |