Computing the Betti numbers of arrangements via spectral sequences

DOI10.1016/S0022-0000(03)00009-6zbMath1160.68606MaRDI QIDQ1886454

Saugata Basu

Publication date: 18 November 2004

Published in: Journal of Computer and System Sciences (Search for Journal in Brave)

zbMATH Keywords

Betti numbersSpectral sequenceSemi-algebraic sets

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (1)

Spectral sequences, exact couples and persistent homology of filtrations

Cites Work

• On the Piano Movers problem. II: General techniques for computing topological properties of real algebraic manifolds
• A singly exponential stratification scheme for real semi-algebraic varieties and its applications
• Different bounds on the different Betti numbers of semi-algebraic sets
• Topological persistence and simplification
• The combinatorial and topological complexity of a single cell
• The union of balls and its dual shape
• Almost tight upper bounds for the single cell and zone problems in the three dimensions
• Almost tight upper bounds for vertical decompositions in four dimensions
• Computing roadmaps of semi-algebraic sets on a variety
• On the Betti Numbers of Real Varieties
• Algorithms in real algebraic geometry
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