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Algebra of sets
Results: 117

#	Item
91	Maximal lattice-free convex sets in linear subspaces Amitabh Basu Carnegie Mellon University, [removed] Michele Conforti Universit`a di Padova, [removed] G´erard Cornu´ejols ∗ Add to Reading List Source URL: integer.tepper.cmu.edu Language: English - Date: 2010-07-21 15:14:23 Convex analysis Vector space Affine space Geometry of numbers Lattice Convex set Convex function Lp space Basis Algebra Mathematics Linear algebra
92	Logic and the Sizes of Sets Larry Moss, Indiana University NASSLLI[removed] Add to Reading List Source URL: www.indiana.edu Language: English - Date: 2014-06-27 10:53:59 Quantification Universal quantification FO If and only if Obfuscated code Kullback–Leibler divergence Mathematics Abstract algebra Theoretical computer science
93	Logical Aspects of Set Constraints Dexter Kozen Computer Science Department Cornell University Ithaca, New York 14853, USA [removed] Add to Reading List Source URL: www.cs.cornell.edu Language: English - Date: 2012-05-29 09:46:24 Boolean algebra Algebraic structures Order theory Algebraic logic Field of sets Ideal Complete Heyting algebra Heyting algebra Interior algebra Mathematics Abstract algebra Mathematical logic
94	ON HOMOTOPY TYPES OF LIMITS OF SEMI-ALGEBRAIC SETS AND ADDITIVE COMPLEXITY OF POLYNOMIALS SAL BARONE AND SAUGATA BASU Abstract. We prove that the number of homotopy types of limits of oneparameter semi-algebraic families Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2011-02-02 17:01:53 Mathematical structures Field theory Algebraic structures Algebraic geometry Homotopy group Homotopy theory Topology Homotopy Polynomial Abstract algebra Mathematics Algebra
95	A SHARPER ESTIMATE ON THE BETTI NUMBERS OF SETS DEFINED BY QUADRATIC INEQUALITIES SAUGATA BASU AND MICHAEL KETTNER Abstract. In this paper we consider the problem of bounding the Betti numbers, bi (S), of a semi-algebrai Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:31:16 Quadratic forms Algebraic topology Betti number Topological graph theory Algebraic geometry Real algebraic geometry Algebraic variety Weil conjectures Algebra Mathematics Abstract algebra
96	BOUNDING THE EQUIVARIANT BETTI NUMBERS AND COMPUTING ´ CHARACTERISTIC OF THE GENERALIZED EULER-POINCARE SYMMETRIC SEMI-ALGEBRAIC SETS SAUGATA BASU AND CORDIAN RIENER Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2014-01-17 21:15:39 Algebraic topology Algebraic geometry Field theory Polynomials Betti number Homogeneous polynomial Algebraic variety Symmetric polynomial Real algebraic geometry Abstract algebra Algebra Mathematics
97	ON PROJECTIONS OF SEMI-ALGEBRAIC SETS DEFINED BY FEW QUADRATIC INEQUALITIES SAUGATA BASU AND THIERRY ZELL Abstract. Let S ⊂ Rk+m be a compact semi-algebraic set defined by P1 ≥ 0, . . . , P` ≥ 0, where Pi ∈ R[X1 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:46 Algebraic topology Homological algebra Homology theory Algebraic geometry Group theory Betti number Sheaf Spectral sequence Cohomology Abstract algebra Algebra Mathematics
98	BOUNDING THE NUMBER OF STABLE HOMOTOPY TYPES OF A PARAMETRIZED FAMILY OF SEMI-ALGEBRAIC SETS DEFINED BY QUADRATIC INEQUALITIES SAUGATA BASU AND MICHAEL KETTNER Abstract. We prove a nearly optimal bound on the number of s Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:03 Homotopy Algebraic geometry CW complex Algebraic topology Freudenthal suspension theorem Homotopy category Topology Homotopy theory Abstract algebra
99	Chapter 1 Background and Fundamentals of Mathematics This chapter is fundamental, not just for algebra, but for all fields related to mathematics. The basic concepts are products of sets, partial orderings, equivalence r Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:52 Mathematical logic Bijection injection and surjection Surjective function Injective function Equivalence relation Bijection Inverse function Function Binary relation Mathematics Mathematical analysis Functions and mappings
100	ON RINGS FOR WHICH FINITELY GENERATED IDEALS HAVE ONLY FINITELY MANY MINIMAL COMPONENTS THOMAS MARLEY Abstract. For a commutative ring R we investigate the property that the sets of minimal primes of finitely generated i Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2006-06-05 14:51:26 Ring theory Module theory Algebraic structures Homological algebra Ideal Finitely-generated algebra Noetherian ring Spectrum of a ring Polynomial ring Abstract algebra Algebra Commutative algebra

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