论文标题
关于几个数字理论套装家庭的同源性
On the homology of several number-theoretic set families
论文作者
论文摘要
本文介绍了与组合数量理论集合的家族相关的各种简单络合物的同源性，包括原始集，成对副标集，无产品集和无副电图集。我们提出了一个固定家族的条件，该条件很容易计算同源组，并表明前三个例子（除其他示例）承认了这种结构。然后，我们扩展了我们的技术，以解决与无副本集相关的复合物以及原始集合的概括。
This paper describes the homology of various simplicial complexes associated to set families from combinatorial number theory, including primitive sets, pairwise coprime sets, product-free sets, and coprime-free sets. We present a condition on a set family that results in easy computation of the homology groups, and show that the first three examples, among many others, admit such a structure. We then extend our techniques to address the complexes associated to coprime-free sets and a generalization of primitive sets.
