Spectral sequences, exact couples and persistent homology of filtrations

Author:

Basu Saugata,Parida Laxmi

Funder

NSF

Publisher

Elsevier BV

Subject

General Mathematics

Reference16 articles.

1. Computing Betti numbers of arrangements via spectral sequences;Basu;J. Comput. System Sci.,2003

2. On projections of semi-algebraic sets defined by few quadratic inequalities;Basu;Discrete Comput. Geom.,2008

3. Éléments de mathématique. Algèbre. Chapitre 10. Algèbre homologique;Bourbaki,2007

4. Algebra I. Chapters 1–3, Elements of Mathematics (Berlin);Bourbaki,1998

5. Topology and data;Carlsson;Bull. Amer. Math. Soc. (N.S.),2009

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1. The Gauge Equation in Statistical Manifolds: An Approach through Spectral Sequences;Mathematics;2024-04-14

2. Complexity of couplings in multivariate time series via ordinal persistent homology;Chaos: An Interdisciplinary Journal of Nonlinear Science;2023-04-01

3. Harmonic Persistent Homology (extended abstract);2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS);2022-02

4. Computing invariants for multipersistence via spectral systems and effective homology;Journal of Symbolic Computation;2021-05

5. Computational Tools in Weighted Persistent Homology;Chinese Annals of Mathematics, Series B;2021-03

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