2 papers
math.AT2023
On Cubical Sets of Quivers and Digraphs
Rolando Jimenez, Vladimir Vershinin, Yuri Muranov
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…
math.AT2022
Homology of weighted path complexes and directed hypergraphs
Y. Muranov, A. Szczepkowska, V. Vershinin
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…