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math.MG2014
Measure Partitions Using Hyperplanes with Fixed Directions
Roman Karasev, Edgardo Roldán-Pensado, Pablo Soberón
We study nested partitions of obtained by successive cuts using hyperplanes with fixed directions. We establish the number of measures that can be split evenly simultaneously…
math.MG2014
About an Erdős-Grünbaum conjecture concerning piercing of non bounded convex sets
Amanda Montejano, Luis Montejano, Edgardo Roldán-Pensado +1
In this paper, we study the number of compact sets needed in an infinite family of convex sets with a local intersection structure to imply a bound on its piercing number, answerin…