Realizations of Indecomposable Persistence Modules of Arbitrarily Large Dimension
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Publication:5115782
DOI10.4230/LIPIcs.SoCG.2018.15zbMath1493.55002arXiv1803.05722MaRDI QIDQ5115782
Emerson G. Escolar, Mickaël Buchet
Publication date: 18 August 2020
Full work available at URL: https://arxiv.org/abs/1803.05722
quiversrepresentation theorypersistent homologycommutative laddersVietoris-Rips filtrationmulti-persistence
Related Items (7)
On interval decomposability of \(2\)D persistence modules ⋮ The space of barcode bases for persistence modules ⋮ Partial matchings induced by morphisms between persistence modules ⋮ Approximation by interval-decomposables and interval resolutions of persistence modules ⋮ Every 1D persistence module is a restriction of some indecomposable 2D persistence module ⋮ Computing the interleaving distance is NP-hard ⋮ Computing invariants for multipersistence via spectral systems and effective homology
Uses Software
Cites Work
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- The theory of multidimensional persistence
- Matrix method for persistence modules on commutative ladders of finite type
- Topological persistence and simplification
- Zigzag persistence
- Clique topology reveals intrinsic geometric structure in neural correlations
- Introduction to the Representation Theory of Algebras
- Predicting Clinical Outcomes in Glioblastoma: An Application of Topological and Functional Data Analysis
- Stratifying Multiparameter Persistent Homology
- Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology
- Persistence modules on commutative ladders of finite type
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