Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes

DOI10.1007/s10208-016-9330-zzbMath1384.54023arXiv1506.00018OpenAlexW643853242WikidataQ59609387 ScholiaQ59609387MaRDI QIDQ1692134

Marian Mrozek

Publication date: 26 January 2018

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00018

zbMATH Keywords

Morse inequalitiesattractorrepellerMorse decompositionConley index theorydiscrete Morse theorycombinatorial vector fieldtopology of finite sets

Mathematics Subject Classification ID

Related Items (14)

Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems ⋮ Lattice structures for attractors. III ⋮ The Morse equation in the Conley index theory for discrete multivalued dynamical systems ⋮ On the dynamics of the combinatorial model of the real line ⋮ Computing Connection Matrices via Persistence-Like Reductions ⋮ Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces ⋮ Morse theory of Bestvina–Brady type for posets and matchings ⋮ Linking combinatorial and classical dynamics: Conley index and Morse decompositions ⋮ Persistent Homology of Morse Decompositions in Combinatorial Dynamics ⋮ Topological realizations of groups in Alexandroff spaces ⋮ Creating semiflows on simplicial complexes from combinatorial vector fields ⋮ A Lefschetz fixed point theorem for multivalued maps of finite spaces ⋮ Combinatorial vs. classical dynamics: recurrence ⋮ Unsupervised Features Learning for Sampled Vector Fields

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