%0 Journal Article %T Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in $R^3$ %A Victor A. Vassiliev %J Mathematics %D 2015 %I arXiv %X The naturally topologized order complex of proper algebraic subsets in $RP^2$, defined by systems of quadratic forms, has rational homology of $S^{13}$ %U http://arxiv.org/abs/1501.06063v1