On homology theories of cubical digraphs

IF 0.7 3区数学 Q2 MATHEMATICS

Pacific Journal of Mathematics Pub Date : 2023-05-03 DOI:10.2140/pjm.2023.322.39

A. Grigor’yan, Y. Muranov

引用次数: 0

Abstract

. We prove the equivalence of the singular cubical homology and the path homology on the category of cubical digraphs. As a corollary we obtain a new relation between the singular cubical homology of digraphs and simplicial homology.

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关于三次有向图的同调理论

证明了在三次有向图范畴上的奇异三次同调与路径同调的等价性。作为推论，我们得到了有向图的奇异立方同调与单纯同调之间的一个新关系。

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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来源期刊

Pacific Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Founded in 1951, PJM has published mathematics research for more than 60 years. PJM is run by mathematicians from the Pacific Rim. PJM aims to publish high-quality articles in all branches of mathematics, at low cost to libraries and individuals. The Pacific Journal of Mathematics is incorporated as a 501(c)(3) California nonprofit.