7 citations · 10 across the 19 of their papers we have counts for
3 papers · 2 filters
Strong discrete Morse theory and simplicial L-S category: A discrete version of the Lusternik-Schnirelmann Theorem
Desamparados Fernández-Ternero, Enrique Macías-Virgós, Nicholas A. Scoville +1
We prove a discrete version of the Lusternik-Schnirelmann theorem for discrete Morse functions and the recently introduced simplicial Lusternik-Schnirelmann category of a simplicia…
Cosheaf Theoretical Constructions in Networks and Persistent Homology
Nicholas A. Scoville, Karthik Yegnesh
Persistent homology has recently emerged as a powerful technique in topological data analysis for analyzing the emergence and disappearance of topological features throughout a fil…
On the Lusternik-Schnirelmann category of a simplicial map
Nicholas A. Scoville, Willie Swei
In this paper, we study the Lusternik-Schnirelmann category of a simplicial map between simplicial complexes, generalizing the simplicial category of a complex to that of a map. Se…