REFINED BOUNDS ON THE NUMBER OF CONNECTED COMPONENTS OF SIGN CONDITIONS ON A VARIETY SAL BARONE AND SAUGATA BASU Abstract. Let R be a real closed field, P, Q ⊂ R[X1 , . . . , Xk ] finite subsets of polynomials, with th

First Page		Document Content
Date: 2011-11-06 10:09:22 Algebraic geometry Commutative algebra Field extension Algebraic variety Algebraically closed field Zariski topology Betti number Puiseux series Algebraic closure Abstract algebra Algebra Field theory		REFINED BOUNDS ON THE NUMBER OF CONNECTED COMPONENTS OF SIGN CONDITIONS ON A VARIETY SAL BARONE AND SAUGATA BASU Abstract. Let R be a real closed field, P, Q ⊂ R[X1 , . . . , Xk ] finite subsets of polynomials, with th Add to Reading List Source URL: www.math.purdue.edu Download Document from Source Website File Size: 262,45 KB Share Document on Facebook

	BETTI NUMBER ESTIMATES FOR NILPOTENT GROUPS MICHAEL FREEDMAN, RICHARD HAIN, AND PETER TEICHNER Abstract. We prove an extension of the following result of Lubotzky and Madid on the rational cohomology of a nilpotent group DocID: 1rPBs - View Document
	583 Documenta Math. A Common Recursion For Laplacians of Matroids and Shifted Simplicial Complexes DocID: 1r60o - View Document
	Multi-Field Persistent Homology Jean-Daniel Boissonnat & Cl´ement Maria JGA 2013 1Introduction DocID: 1qLT1 - View Document
	THE FIRST L2 -BETTI NUMBER AND APPROXIMATION IN ARBITRARY CHARACTERISTIC arXiv:1206.0474v3 [math.GR] 24 Feb 2014 ¨ DocID: 1qGz8 - View Document
	APPROXIMATING THE FIRST L2 -BETTI NUMBER OF RESIDUALLY FINITE GROUPS arXiv:1011.4739v2 [math.GR] 16 Dec 2010 ¨ DocID: 1qDY3 - View Document