Inequalities for two systems of subspaces with prescribed intersections
10 Oct 2016
·
Hegedüs Gábor·
Let $W$ denote a linear space over a fixed field ${\mathbb F}$. We define the
notions of weak $ISP$-system and weak $(u,v)$-system $\cal S=\{(U_i,V_i):~
1\leq i\leq m\}$ of subspaces of $W$. We give upper bounds for the size of weak
$ISP$-systems and weak $(u,v)$-systems.