A Bollobáss-type theorem on singular linear spaces

Erfei Yue, Benjian Lv, Péter Sziklai, Kaishun Wang · arXiv (Cornell University) · 2024

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.

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