s-almost t-intersecting families for vector spaces

2024/12/01 by Shuhui Yu, Yu, Shuhui, Lijun Ji +1
Mathematics · #Advanced Banach Space Theory #Advanced Differential Equations and Dynamical Systems #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2412.08659

Abstract

Let F be a family of k-dimensional subspaces of an n-dimensional vector space. Write D_F(H;t)=\F∈ F\colon dim(F∩ H)≤ t \ for a subspace H. The family F is called s-almost t-intersecting if |D_F(F;t)|≤ s for each F∈ F. In this note, we prove that s-almost t-intersecting families with maximum size are t-intersecting.

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