Email this article Homologies of transitive digraphs and discrete spaces
- Authors: Muranov Y.V.1, Jimenez R.B.2
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Affiliations:
- University of Warmia and Mazury in Olsztyn
- National Autonomous University of Mexico, Institute of Mathematics
- Issue: Vol 214, No 8 (2023)
- Pages: 74-93
- Section: Articles
- URL: https://journal-vniispk.ru/0368-8666/article/view/133544
- DOI: https://doi.org/10.4213/sm9842
- ID: 133544
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Abstract
We prove that for transitive digraphs path homology, and therefore also Alexandroff homology, coincides with singular cubic homology. Also, discrete topological spaces are defined that are natural analogues of standard topological cubes. Using them, the singular cubic homology of discrete topological spaces is defined, and it is proved that these homology groups coincide with the Alexandroff homology groups.
About the authors
Yury Vladimirovich Muranov
University of Warmia and Mazury in Olsztyn
Email: ymuranov@mail.ru
Doctor of physico-mathematical sciences, Professor
Rolando Benitez Jimenez
National Autonomous University of Mexico, Institute of Mathematics
Author for correspondence.
Email: ymuranov@mail.ru
Candidate of physico-mathematical sciences
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