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A survey of mass partitions
Edgardo Roldán-Pensado, Pablo Soberón
Mass partition problems describe the partitions we can induce on a family of measures or finite sets of points in Euclidean spaces by dividing the ambient space into pieces. In thi…
A note on the tolerated Tverberg theorem
Natalia García-Colín, Miguel Raggi, Edgardo Roldán-Pensado
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…
A sunflower anti-Ramsey theorem and its applications
Leonardo Martínez-Sandoval, Miguel Raggi, Edgardo Roldán-Pensado
A -sunflower in a hypergraph is a family of edges with vertices in common. We show that if we colour the edges of a complete hypergraph in such a way that any monochromatic…