Path Complexes and their Homologies

We introduce the notions of a path complex and its homologies. Particular cases of path homologies are simplicial homologies and digraph homologies. We state and prove some properties of path homologies, in particular, the K¨unneth formulas for Cartesian product and join, which happen to be true at...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-08, Vol.248 (5), p.564-599
Hauptverfasser:	Grigor’yan, A. A., Lin, Yong, Muranov, Yu. V., Yau, Shing-Tung
Format:	Artikel
Sprache:	eng
Schlagworte:	Cartesian coordinates Graph theory Homology Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!