On the structural theorem of persistent homology
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Publication:2334510
DOI10.1007/s00454-018-0042-9zbMath1471.55007arXiv1701.02055OpenAlexW2962824555WikidataQ128984960 ScholiaQ128984960MaRDI QIDQ2334510
Killian Meehan, Andrei Pavlichenko, Jan Segert
Publication date: 7 November 2019
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02055
Persistent homology and applications, topological data analysis (55N31) Applied homological algebra and category theory in algebraic topology (55U99) Homological algebra in category theory, derived categories and functors (18G99)
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Cites Work
- Auslander-Reiten theory in a Krull-Schmidt category
- Stability of persistence diagrams
- Krull-Schmidt categories and projective covers
- Localized homology
- Computing persistent homology
- Topological persistence and simplification
- Zigzag persistence
- On the structural theorem of persistent homology
- Quiver representations.
- Dualities in persistent (co)homology
- On the Krull-Schmidt theorem with application to sheaves
- Topology and data
- Topology for Computing
- Topological pattern recognition for point cloud data
- Geometric and Topological Inference
- Zigzag Persistence via Reflections and Transpositions
- Zigzag persistent homology and real-valued functions
- Barcodes: The persistent topology of data
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