L. Montejano

activity

20012024

most citedTopological transversals to a family of convex sets

10 citations · 49 across the 34 of their papers we have counts for

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Showing 2010Show all

2 papers · 1 filter

math.CO2010

Order Types of convex bodies

Alfredo Hubard, Luis Montejano, Emiliano Mora +1

We give new bounds on the Erdos-Szekeres theorems for convex bodies of Bisztriczky and Fejes Toth and of Pach and Toth. We derive them from a combinatorial characterization of conv…

math.CO2010★ 10 cited

Topological transversals to a family of convex sets

L. Montejano, R. N. Karasev

Let $F$ be a family of compact convex sets in $R^{d}$ . We say that $F$ has a \emph{topological $ρ$ -transversal of index $(m, k)$ } ( $ρ < m$ , $0 < k \leq d - m$ ) if…