加权路径复形与有向超图的同调性

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

摘要

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。

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Homology of weighted path complexes and directed hypergraphs

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.

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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.