论文标题
开放式封面的同源性神经定理
A homological nerve theorem for open covers
论文作者
论文摘要
在本说明中，我们表明，特定的同源性神经定理最初是通过子复合物对简单复合物的有限覆盖而被证明的，它也适用于任意拓扑空间的开放覆盖。这样做的动机是肯定地回答一个有关越野公制增厚的同源群体的问题。
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.
