Combinatorial presentation of multidimensional persistent homology

DOI10.1016/j.jpaa.2016.09.001zbMath1373.55027arXiv1409.7936OpenAlexW2963003109MaRDI QIDQ502621

Wojciech Chachólski, Martina Scolamiero, Francesco Vaccarino

Publication date: 5 January 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7936

zbMATH Keywords

multidimensional persistent homology

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Homology and cohomology theories in algebraic topology (55N99)

Related Items (7)

Capturing dynamics of time-varying data via topology ⋮ Computing invariants for multipersistence via spectral systems and effective homology ⋮ Unnamed Item ⋮ Elder-Rule-Staircodes for Augmented Metric Spaces ⋮ Stratifying Multiparameter Persistent Homology ⋮ Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology ⋮ Algebraic homotopy interleaving distance

Uses Software

• Macaulay2

Cites Work

• The theory of multidimensional persistence
• Computing multidimensional persistence
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