Homology of weighted path complexes and directed hypergraphs

IF 0.5 4区数学 Q3 MATHEMATICS Portugaliae Mathematica Pub Date : 2022-04-16 DOI:10.4171/pm/2098

Y. Muranov, A. Szczepkowska, V. Vershinin

引用次数: 0

Abstract

We introduce the weighted path homology on the category of weigh\-ted directed hypergraphs and describe conditions of homotopy invariance of weighted path homology groups. We give several examples that explain the nontriviality of the introduced notions.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

加权路径复形与有向超图的同调性

我们在加权有向超图范畴上引入了加权路径同调，并描述了加权路径同源群的同调不变性条件。我们举了几个例子来解释引入的概念的不平凡性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.

期刊最新文献

Existence of solutions for critical Klein–Gordon equations coupled with Born–Infeld theory in higher dimensions Rank-one ECS manifolds of dilational type Null controllability and Stackelberg–Nash strategy for a $2\times 2$ system of parabolic equations A reverse Ozawa–Rogers estimate On generalized Wilf conjectures