14 citations · 45 across the 16 of their papers we have counts for
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math.CO2021
Bisections of mass assignments using flags of affine spaces
Ilani Axelrod-Freed, Pablo Soberón
We use recent extensions of the Borsuk--Ulam theorem for Stiefel manifolds to generalize the ham sandwich theorem to mass assignments. A -dimensional mass assignment continuousl…
math.CO2021
Lifting methods in mass partition problems
Pablo Soberón, Yuki Takahashi
Many results in mass partitions are proved by lifting to a higher-dimensional space and dividing the higher-dimensional space into pieces. We extend such methods to…
math.CO2021★ 3 cited
Generalizations of the Yao-Yao partition theorem and the central transversal theorem
Michael N. Manta, Pablo Soberón
We generalize the Yao-Yao partition theorem by showing that for any smooth measure in there exist equipartitions using convex regions such that every hyperplan…