The Hurewicz theorem for cubical homology
Algebraic Topology
2024-09-09 v2
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.
Cite
@article{arxiv.2207.12500,
title = {The Hurewicz theorem for cubical homology},
author = {Daniel Carranza and Chris Kapulkin and Andrew Tonks},
journal= {arXiv preprint arXiv:2207.12500},
year = {2024}
}
Comments
Math. Z. (to appear); 17 pages; minor revision