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Semialgebraic set
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1	SUMS OF SQUARES, MOMENT MATRICES AND OPTIMIZATION OVER POLYNOMIALS MONIQUE LAURENT∗ Updated version: February 6, 2010 Abstract. We consider the problem of minimizing a polynomial over a semialgebraic set defined by pol Add to Reading List Source URL: homepages.cwi.nl Language: English - Date: 2010-02-06 15:22:54
2	Structures Cell Decomposition Dimension and Euler Characteristic Definable Families and Collections Adding more Structure Tame Topology and O-Minimal Structures University of Illinois Urbana-Champaign Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2013-06-17 14:33:02 Model theory Algebraic topology Real algebraic geometry Mathematical structures Mathematical logic O-minimal theory Euler characteristic Definable set CW complex Topology Structure Semialgebraic set
3	SUMS OF SQUARES, MOMENT MATRICES AND OPTIMIZATION OVER POLYNOMIALS MONIQUE LAURENT∗ Updated version: February 6, 2010 Abstract. We consider the problem of minimizing a polynomial over a semialgebraic set defined by pol Add to Reading List Source URL: homepages.cwi.nl Language: English - Date: 2010-02-06 15:22:54 Mathematics Algebra Real algebraic geometry Mathematical optimization Operations research Matrices Linear programming Semidefinite programming Polynomial Moment problem Moment matrix Matrix
4	SUMS OF SQUARES, MOMENT MATRICES AND OPTIMIZATION OVER POLYNOMIALS MONIQUE LAURENT∗ May 8, 2008 Abstract. We consider the problem of minimizing a polynomial over a semialgebraic set defined by polynomial equations and Add to Reading List Source URL: homepages.cwi.nl Language: English - Date: 2009-01-14 16:33:25
5	REPRESENTATIONS OF NON-NEGATIVE POLYNOMIALS HAVING FINITELY MANY ZEROS M. Marshall Revised September 23, 2004 Let K be a basic closed semialgebraic set in Rn deﬁned by polynomial inequalities Add to Reading List Source URL: math.usask.ca Language: English - Date: 2008-09-22 17:42:33
6	Model Theory, Algebra, and Geometry MSRI Publications Volume 39, 2000 Subanalytic Geometry EDWARD BIERSTONE AND PIERRE D. MILMAN Add to Reading List Source URL: library.msri.org Language: English - Date: 2001-06-12 16:43:22 Geometry Subanalytic set Nash functions Semialgebraic set Tarski–Seidenberg theorem Sheaf Algebraic variety Analytic function O-minimal theory Algebraic geometry Real algebraic geometry Abstract algebra
7	BOUNDING THE EQUIVARIANT BETTI NUMBERS AND ´ COMPUTING THE GENERALIZED EULER-POINCARE CHARACTERISTIC OF SYMMETRIC SEMI-ALGEBRAIC SETS SAUGATA BASU Add to Reading List Source URL: math.nyu.edu Language: English - Date: 2014-01-07 18:07:32 Algebra Betti number Semialgebraic set Polynomial Computational complexity theory Real closed field Algebraic geometry Abstract algebra Real algebraic geometry Mathematics
8	POLYNOMIAL HIERARCHY, BETTI NUMBERS AND A REAL ANALOGUE OF TODA’S THEOREM SAUGATA BASU AND THIERRY ZELL Abstract. Toda [36] proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the class P# Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:44:12 Field theory Real algebraic geometry Algebraic geometry Real closed field Betti number Polynomial Algebraic variety Field Semialgebraic set Abstract algebra Mathematics Algebra
9	COMPUTING THE BETTI NUMBERS OF SEMI-ALGEBRAIC SETS DEFINED BY PARTLY QUADRATIC SYSTEMS OF POLYNOMIALS SAUGATA BASU, DMITRII V. PASECHNIK, AND MARIE-FRANC ¸ OISE ROY Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:26 Algebraic geometry Betti number Polynomial Semialgebraic set Ordinal number Probability theory Transcendental number Probability space Mathematics Abstract algebra Real algebraic geometry

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