Alexander-Spanier cohomology and boundary of a domain
General Topology
2015-07-23 v2
Abstract
We investigate a property: a domain cuts the ambient space if and only if it's boundary is disconnected. Previously, we had shown that for compact manifolds this property is equivalent to the manifold having trivial 1-cohomology. We now generalize this discussion to locally connected metric spaces.
Keywords
Cite
@article{arxiv.1207.1887,
title = {Alexander-Spanier cohomology and boundary of a domain},
author = {Andrzej Czarnecki},
journal= {arXiv preprint arXiv:1207.1887},
year = {2015}
}
Comments
This paper was withdrawn because it merges with updated version of "Cutting description of trivial 1-cohomology" [arXiv:1206.1811]