A Bollob\'ass-type theorem on singular linear spaces

A Bollob\'ass-type theorem on singular linear spaces

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 li...

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Hauptverfasser: Yue, Erfei, Lv, Benjian, Sziklai, Péter, Wang, Kaishun
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
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Zusammenfassung: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.
DOI:10.48550/arxiv.2408.05630