Book review of: D. N. Kozlov, Organized collapse. An introduction to discrete Morse theory

DOI10.1365/s13291-022-00259-3zbMath1506.00012OpenAlexW4307278616MaRDI QIDQ2690559

Stefan Witzel

Publication date: 17 March 2023

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1365/s13291-022-00259-3

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) External book reviews (00A17) Discrete Morse theory and related ideas in manifold topology (57Q70)

Cites Work

• Unnamed Item
• Morse theory for cell complexes
• Morse Theory. (AM-51)
• Morse Theory
• Combinatorial algebraic topology

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