The Hurewicz theorem for cubical homology
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.
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| Veröffentlicht in: | Mathematische Zeitschrift 2023-12, Vol.305 (4), Article 61 |
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| container_title | Mathematische Zeitschrift |
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| creator | Carranza, Daniel Kapulkin, Krzysztof Tonks, Andrew |
| description | 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. |
| doi_str_mv | 10.1007/s00209-023-03352-0 |
| format | Article |
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| language | eng |
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| subjects | Homology Mathematics Mathematics and Statistics Theorems |
| title | The Hurewicz theorem for cubical homology |
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