%0 Journal Article %T Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells %A B. Shapiro %A M. Shapiro %A A. Vainshtein %J Mathematics %D 1998 %I arXiv %X We prove that the number of connected components in the intersection of two open opposite Schubert cells in the variety of complete real n-dimensional flags equals 3*2^{n-1} for n>5. %U http://arxiv.org/abs/math/9802093v1