TY - JOUR AU - Agrachev, A. AB - We present a spectral sequence which efficiently computes Betti numbers of a closed semi-algebraic subset of ℝP n defined by a system of quadratic inequalities and the image of the homology homomorphism induced by the inclusion of this subset in ℝP n . We do not restrict ourselves to the term E 2 of the spectral sequence and give a simple explicit formula for the differential d 2 . TI - Systems of quadratic inequalities JO - Proceedings of the London Mathematical Society DO - 10.1112/plms/pds010 DA - 2012-09-01 UR - https://www.deepdyve.com/lp/oxford-university-press/systems-of-quadratic-inequalities-LctVulM30J SP - 622 EP - 660 VL - 105 IS - 3 DP - DeepDyve ER -