A note on the tolerated Tverberg theorem
  In this paper we give an asymptotically tight bound for the tolerated Tverberg Theorem when the dimension and the size of the partition are fixed. To achieve this we study certain partitions of order-type homogeneous sets and use a generalization of the Erd\H{o}s-Szekeres theorem. 
Natalia Garc\'ia-Col\'in and Miguel Raggi and Edgardo Rold\'an-Pensado
math.CO