On homotopy types of limits of semi-algebraic sets and additive complexity of polynomials

DOI10.4171/JEMS/468zbMath1333.14056arXiv1102.0080OpenAlexW2963477322MaRDI QIDQ466903

Saugata Basu, Sal Barone

Publication date: 31 October 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0080

zbMATH Keywords

semi-algebraic setshomotopy typesadditive complexityHausdorff limit

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Semialgebraic sets and related spaces (14P10) Topology of real algebraic varieties (14P25)

Cites Work

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• Polynomial hierarchy, Betti numbers, and a real analogue of Toda's theorem
• On the Number of Additions to Compute Specific Polynomials
• BETTI NUMBERS OF SEMIALGEBRAIC AND SUB-PFAFFIAN SETS
• Poset fiber theorems
• On the number of homotopy types of fibres of a definable map
• Algorithms in real algebraic geometry

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