Marguerite Bin

collaborators

2 papers

cs.CG2026

Intersection patterns of set systems on manifolds with slowly growing homological shatter functions

Sergey Avvakumov, Marguerite Bin, Xavier Goaoc

A theorem of Matoušek asserts that for any $k \geq 2$ , any set system whose shatter function is $o (n^{k})$ enjoys a fractional Helly theorem of order $k$ : in the $k$ -wise intersection…

cs.CG2024

A fractional Helly theorem for set systems with slowly growing homological shatter function

Marguerite Bin

We study parameters of the convexity spaces associated with families of sets in $R^{d}$ where every intersection between $t$ sets of the family has its Betti numbers bounded…