Relative-perfectness of discrete gradient vector fields and multi-parameter persistent homology

DOI10.1007/s10878-021-00729-xOpenAlexW3156776635MaRDI QIDQ2084615

Sara Scaramuccia, Landi, Claudia

Publication date: 18 October 2022

Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05081

zbMATH Keywords

Morse inequalitiesdiscrete Morse theoryBetti tablespersistence modulesmultiparameter persistent homology

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Syzygies, resolutions, complexes and commutative rings (13D02) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (2)

Bifiltrations and persistence paths for 2-Morse functions ⋮ Morse inequalities for the Koszul complex of multi-persistence

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