Computing the first few Betti numbers of semi-algebraic sets in single exponential time-Reference-Cited by-同舟云学术

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Computing the first few Betti numbers of semi-algebraic sets in single exponential time

Published:2006-10 Issue:10 Volume:41 Page:1125-1154
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Basu Saugata

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference23 articles.

1. On bounding the Betti numbers and computing the Euler characteristics of semi-algebraic sets;Basu;Discrete and Computational Geometry,1999

2. On different bounds on different Betti numbers;Basu;Discrete and Computational Geometry,2003

3. Computing the Betti numbers of arrangements in practice;Basu,2005

4. On the combinatorial and algebraic complexity of quantifier elimination;Basu;Journal of the ACM,1996

5. Computing roadmaps of semi-algebraic sets on a variety;Basu;Journal of the AMS,1999

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1. Efficient Computation of a Semi-Algebraic Basis of the First Homology Group of a Semi-Algebraic Set;Discrete & Computational Geometry;2024-02-22

2. Computing the Homology Functor on Semi-algebraic Maps and Diagrams;Discrete & Computational Geometry;2024-02-14

3. Computing Geometric Feature Sizes for Algebraic Manifolds;SIAM Journal on Applied Algebra and Geometry;2023-11-09

4. Persistent Homology of Semialgebraic Sets;SIAM Journal on Applied Algebra and Geometry;2023-09-27

5. Efficient simplicial replacement of semialgebraic sets;Forum of Mathematics, Sigma;2023

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