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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Carranza, D., Kapulkin, K. & Tonks, A. The Hurewicz theorem for cubical homology. Math. Z. 305, 61 (2023). https://doi.org/10.1007/s00209-023-03352-0
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DOI: https://doi.org/10.1007/s00209-023-03352-0