Categorification of persistent homology
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Publication:2249475
DOI10.1007/s00454-014-9573-xzbMath1295.55005arXiv1205.3669OpenAlexW3099422512WikidataQ59442793 ScholiaQ59442793MaRDI QIDQ2249475
Peter Bubenik, Jonathan A. Scott
Publication date: 1 July 2014
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.3669
interleaving distancepersistent topologytopological persistencebottleneck distancebarcodesapplied topologydiagrams indexed by the poset of real numbers
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Cites Work
- Stability of persistence diagrams
- Metrics for generalized persistence modules
- Extending persistence using Poincaré and Lefschetz duality
- Computing persistent homology
- Topological persistence and simplification
- Zigzag persistence
- The Structure and Stability of Persistence Modules
- Topology and data
- Topology for Computing
- Decomposition of pointwise finite-dimensional persistence modules
- Proximity of persistence modules and their diagrams
- Barcodes: The persistent topology of data
- Size functions from a categorical viewpoint
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