$\mathcal{L}$-intersecting or Configuration Forbidden Families on Set Systems and Vector Spaces over Finite Fields

Jiuqiang Liu, Guihai Yu, Lihua Feng +1

In this paper, we derive a tight upper bound for the size of an intersecting $k$-Sperner family of subspaces of the $n$-dimensional vector space ${\mathbb{F}}_q^n$ over finite fi…