A Bollobáss-type theorem on singular linear spaces

Fuente: arXiv
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Autores principales: Yue, Erfei, Lv, Benjian, Sziklai, Péter, Wang, Kaishun
Formato: Preprint
Publicado: 2024
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author Yue, Erfei
Lv, Benjian
Sziklai, Péter
Wang, Kaishun
author_facet Yue, Erfei
Lv, Benjian
Sziklai, Péter
Wang, Kaishun
contents Bollobás-type theorem determines the maximum cardinality of a Bollobás 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 Bollobás-type theorem to singular linear spaces, and determine the maximum cardinality of (skew) Bollobás systems on them.
format Preprint
id arxiv_https___arxiv_org_abs_2408_05630
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Bollobáss-type theorem on singular linear spaces
Yue, Erfei
Lv, Benjian
Sziklai, Péter
Wang, Kaishun
Combinatorics
Bollobás-type theorem determines the maximum cardinality of a Bollobás 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 Bollobás-type theorem to singular linear spaces, and determine the maximum cardinality of (skew) Bollobás systems on them.
title A Bollobáss-type theorem on singular linear spaces
topic Combinatorics
url https://arxiv.org/abs/2408.05630