The persistent homology of a self-map

DOI10.1007/s10208-014-9223-yzbMath1330.55009OpenAlexW1978925672WikidataQ59407834 ScholiaQ59407834MaRDI QIDQ887153

Marian Mrozek, Grzegorz Jabłoński, Herbert Edelsbrunner

Publication date: 28 October 2015

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-014-9223-y

zbMATH Keywords

stabilityconvergencecomputational experimentsdiscrete dynamical systemscategory theoryalgebraic algorithmscomputational topology

Mathematics Subject Classification ID

Topological dynamics (37B99) General theory of categories and functors (18A99) Other homology theories in algebraic topology (55N35) Applied homological algebra and category theory in algebraic topology (55U99)

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Uses Software

• CAPD
• RedHom

Cites Work

• Stability of persistence diagrams
• On the local behavior of spaces of natural images
• Exploring uses of persistent homology for statistical analysis of landmark-based shape data
• Computational homology
• Computing persistent homology
• Topological persistence and simplification
• Zigzag persistence
• Categorification of persistent homology
• CAPD::RedHom v2 - Homology Software Based on Reduction Algorithms
• Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
• Proximity of persistence modules and their diagrams
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