Extremal problems for intersecting families of subspaces with a measure

Abstract

We introduce a measure for subspaces of a vector space over a $q$-element field, and propose some extremal problems for intersecting families. These are $q$-analogue of Erdős-Ko-Rado type problems, and we answer some of the basic questions.

20 pages

References in corpus (3)

• A cross-intersection theorem for vector spaces based on semidefinite programming
• A semidefinite programming approach to a cross-intersection problem with measures
• Eigenvalue problem for some special class of anti-triangular matrices