The Hurewicz theorem for cubical homology
arXiv:2207.12500 · doi:10.1007/s00209-023-03352-0
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.
Math. Z. (to appear); 17 pages; minor revision