Higher connectivity of the Morse complex

DOI10.1090/bproc/115zbMath1504.55015arXiv2004.10481OpenAlexW3017714458MaRDI QIDQ5072247

Nicholas A. Scoville, Matthew C. B. Zaremsky

Publication date: 27 April 2022

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10481

zbMATH Keywords

discrete Morse theoryMorse complexhigher connectivity

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• The braided Thompson's groups are of type \(F_\infty\)
• On the automorphism group of the Morse complex
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Morse theory and finiteness properties of groups
• Morse theory for cell complexes
• Simple groups separated by finiteness properties
• Complexes of directed trees
• A simplicial complex is uniquely determined by its set of discrete Morse functions
• Complexes of discrete Morse functions
• Chessboard Complexes and Matching Complexes
• Rearrangement groups of fractals
• Discrete Morse Theory
• Combinatorial algebraic topology
• MANIFOLD MATCHING COMPLEXES
• Unnamed Item

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