A Bollob\'ass-type theorem on singular linear spaces
Combinatorics
2024-08-13 v1
Abstract
Bollob\'as-type theorem determines the maximum cardinality of a Bollob\'as system of sets. The original result has been extended to various mathematical structures beyond sets, including vector spaces and affine spaces. This paper generalizes the Bollob\'as-type theorem to singular linear spaces, and determine the maximum cardinality of (skew) Bollob\'as systems on them.
Keywords
Cite
@article{arxiv.2408.05630,
title = {A Bollob\'ass-type theorem on singular linear spaces},
author = {Erfei Yue and Benjian Lv and Péter Sziklai and Kaishun Wang},
journal= {arXiv preprint arXiv:2408.05630},
year = {2024}
}