A homological nerve theorem for open covers
Algebraic Topology
2022-10-04 v1
Abstract
In this note we show that a particular homological nerve theorem, which was originally proved for a finite cover of a simplicial complex by subcomplexes, also holds for an open cover of an arbitrary topological space. The motivation for this is to affirmatively answer a question about the homology groups of Vietoris metric thickenings.
Cite
@article{arxiv.2210.00388,
title = {A homological nerve theorem for open covers},
author = {Patrick Gillespie},
journal= {arXiv preprint arXiv:2210.00388},
year = {2022}
}
Comments
7 pages, 1 figure