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A Sharper Estimate on the Betti Numbers of Sets Defined by Quadratic Inequalities

โœ Scribed by Saugata Basu; Michael Kettner


Publisher
Springer
Year
2007
Tongue
English
Weight
341 KB
Volume
39
Category
Article
ISSN
0179-5376

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On the Number of Sets Definable by Polyn
โœ Gabriela Jeronimo; Juan Sabia ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 102 KB

We show that the known algorithms used to re-write any first order quantifierfree formula over an algebraically closed field into its normal disjunctive form are essentially optimal. This result follows from an estimate of the number of sets definable by equalities and inequalities of fixed polynomi