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pro vyhledávání: '"singular cubical homology theory"'
Autor:
Grigoryan, Alexander, Muranov, Yuri
Publikováno v:
Pacific Journal of Mathematics. 322:39-58
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.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bac8d6ba43a2ffd5c868cce845e6390e
https://doi.org/10.2140/pjm.2023.322.39
https://doi.org/10.2140/pjm.2023.322.39
Akademický článek
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Akademický článek
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The singular cubical homology theory for the category of quivers or digraphs can be constructed similarly to the classical singular homology theory for topological spaces. The case of digraphs and quivers differs from the topological case due to the
Externí odkaz:
http://arxiv.org/abs/2310.00634
Autor:
Jimenez, Rolando1 (AUTHOR) rolando.jimenez@im.unam.mx, Muranov, Yuri1,2 (AUTHOR) muranov@matman.uwm.edu.pl
Publikováno v:
Topology & Its Applications. Mar2024, Vol. 344, pN.PAG-N.PAG. 1p.
Publikováno v:
Applied Categorical Structures; Jun2021, Vol. 29 Issue 3, p415-429, 15p
Publikováno v:
SIAM Journal on Discrete Mathematics; 2021, Vol. 35 Issue 1, p35-54, 20p
Autor:
Edmond A. Jonckheere
In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together. The book develops algebraic/differential topology from an application-oriented point of view. The book takes the reader on a path starting
to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts........................................ 4 § 1. Terminology and Notations................................... 4 1. 1. Set Theo
Autor:
William Fulton
To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology