Persistent pairs and connectedness in discrete Morse functions on simplicial complex. I

DOI10.1016/j.topol.2024.108844arXiv2304.06922OpenAlexW4391424488MaRDI QIDQ6192982

Chong Zheng

Publication date: 12 March 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.06922

zbMATH Keywords

Euler characteristichomologystrong connectiondiscrete Morse theorypersistent pairs

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Discrete Morse theory and related ideas in manifold topology (57Q70)

Cites Work

• Morse theory for filtrations and efficient computation of persistent homology
• Birth and death in discrete Morse theory
• Discrete Morse theory on graphs
• Morse theory for cell complexes
• A user's guide to discrete Morse theory
• Complexes of discrete Morse functions
• Organized Collapse: An Introduction to Discrete Morse Theory
• Simple Homotopy Types
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