Additive posets, CW-complexes, and graphs
Combinatorics
2017-09-25 v2 Algebraic Topology
Abstract
We introduce and study additive posets. We show that the top homology group (with coefficients in Z/2Z) of a finite dimensional CW-complex carries a structure of an additive poset invariant under subdivisions. Applications to CW-complexes and graphs are discussed.
Cite
@article{arxiv.1605.07798,
title = {Additive posets, CW-complexes, and graphs},
author = {Vladimir Turaev},
journal= {arXiv preprint arXiv:1605.07798},
year = {2017}
}
Comments
21 pages, several open problems are formulated at the end of the paper