Betti numbers of semi-Pfaffian sets

DOI10.1016/S0022-4049(99)00017-1zbMath0968.14032arXivmath/0401079WikidataQ126311274 ScholiaQ126311274MaRDI QIDQ1295795

Thierry Zell

Publication date: 16 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401079

zbMATH Keywords

Betti numbersPfaffian varietysemi-Pfaffian sets

Mathematics Subject Classification ID

Pfaffian systems (58A17) Real-analytic and semi-analytic sets (14P15)

Related Items (3)

Topological complexity of the relative closure of a semi-Pfaffian couple ⋮ Complexity of cylindrical decompositions of sub-Pfaffian ⋮ Bounds on sizes of finite bisimulations of Pfaffian dynamical systems

Cites Work

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• \(p\)-adic and real subanalytic sets
• Frontier and closure of a semi-Pfaffian set
• Multiplicities of Pfaffian intersections, and the Łojasiewicz inequality
• o-minimal structures on the field of real numbers
• Complexity of stratifications of semi-Pfaffian sets
• Complements of subanalytic sets and existential formulas for analytic functions
• Geometric categories and o-minimal structures
• Projections of semi-analytic sets
• On the number of cells defined by a family of polynomials on a variety
• On the Betti Numbers of Real Varieties

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