Organized Collapse: An Introduction to Discrete Morse Theory

DOI10.1090/gsm/207zbMath1455.57001OpenAlexW3136639184MaRDI QIDQ4971129

Dmitry N. Kozlov

Publication date: 9 October 2020

Published in: Graduate Studies in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/gsm/207

zbMATH Keywords

discrete Morse theory

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) General topology of complexes (57Q05) Combinatorics of partially ordered sets (06A07) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Simplicial sets and complexes in algebraic topology (55U10) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Discrete Morse theory and related ideas in manifold topology (57Q70)

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