On the Betti numbers of sign conditions

DOI10.1090/S0002-9939-04-07629-4zbMath1080.14068OpenAlexW1592748961MaRDI QIDQ3155925

Saugata Basu, Marie-Françoise Roy, Richard Pollack

Publication date: 5 January 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07629-4

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Topology of real algebraic varieties (14P25)

Related Items

Cutting algebraic curves into pseudo-segments and applications, On the Reeb spaces of definable maps, VC dimensions of principal component analysis, Refined bounds on the number of connected components of sign conditions on a variety, A sharper estimate on the Betti numbers of sets defined by quadratic inequalities, Multi-degree bounds on the Betti numbers of real varieties and semi-algebraic sets and applications, Bounding the Betti numbers and computing the Euler-Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials, An asymptotically tight bound on the number of semi-algebraically connected components of realizable sign conditions, On a real analog of Bezout inequality and the number of connected components of sign conditions, VC density of definable families over valued fields

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