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arXiv · 2207.12500

The Hurewicz theorem for cubical homology

Daniel Carranza·Chris Kapulkin·Andrew Tonks
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Abstract

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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Daniel Carranza, Chris Kapulkin, Andrew Tonks. 2022-07-25. The Hurewicz theorem for cubical homology. https://doi.org/10.1007/s00209-023-03352-0

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