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arXiv · 1207.1887

Alexander-Spanier cohomology and boundary of a domain

Andrzej Czarnecki
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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.

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Andrzej Czarnecki. 2012-07-08. Alexander-Spanier cohomology and boundary of a domain. https://arxiv.org/abs/1207.1887

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