On the homotopy and strong homotopy type of complexes of discrete Morse functions

DOI10.4153/S0008439522000121MaRDI QIDQ5882694

Nicholas A. Scoville, Unnamed Author, Maxwell Lin

Publication date: 17 March 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11440

zbMATH Keywords

homotopydiscrete Morse theoryMorse complexdominated vertexstrong collapsibility

Mathematics Subject Classification ID

General topology of complexes (57Q05) Automorphisms and endomorphisms of algebraic structures (08A35) Abstract complexes in algebraic topology (55U05) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (1)

Star clusters in the matching, Morse, and generalized complex of discrete Morse functions

Cites Work

• Strong homotopy types, nerves and collapses
• On the automorphism group of the Morse complex
• A note on the pure Morse complex of a graph
• Morse theory for cell complexes
• A user's guide to discrete Morse theory
• Complexes of directed trees
• Algebraic topology of finite topological spaces and applications
• A simplicial complex is uniquely determined by its set of discrete Morse functions
• Complexes of discrete Morse functions
• Higher connectivity of the Morse complex
• Discrete Morse Theory
• Morse Theory
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