Computing the homology functor on semi-algebraic maps and diagrams

DOI10.1007/S00454-024-00627-ZMaRDI QIDQ6642294

Saugata Basu, Negin Karisani

Publication date: 22 November 2024

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

zbMATH Keywords

simplicial complexpersistent homologysemi-algebraic setsbarcodes

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Persistent homology and applications, topological data analysis (55N31) Classical real and complex (co)homology in algebraic geometry (14F25)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Metrics for generalized persistence modules
• Computing the first Betti number of a semi-algebraic set
• Algebraic stability of zigzag persistence modules
• A Vietoris-Begle theorem for connective Steenrod homology theories and cell-like maps between metric compacta
• Betti numbers of semialgebraic sets defined by quantifier-free formulae
• Zigzag persistence
• Parametrized homology via zigzag persistence
• Computing the homology of semialgebraic sets. II: General formulas
• Computing the homology of semialgebraic sets. I: Lax formulas
• Computing the first few Betti numbers of semi-algebraic sets in single exponential time
• CATEGORICAL COMPLEXITY
• Algorithms in Real Algebraic Geometry: A Survey
• Computing the Homology of Basic Semialgebraic Sets in Weak Exponential Time
• Computational Topology for Data Analysis
• Approximation of definable sets by compact families, and upper bounds on homotopy and homology
• Algorithms in real algebraic geometry
• Persistent Homology of Semialgebraic Sets
• Efficient simplicial replacement of semialgebraic sets

This page was built for publication: Computing the homology functor on semi-algebraic maps and diagrams

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6642294)