2 papers
math.AT2025
Bisections of mass assignments by parallel hyperplanes
Nikola Sadovek, Pablo Soberón
In this paper, we prove a result on the bisection of mass assignments by parallel hyperplanes on Euclidean vector bundles. Our methods consist of the development of a novel lifting…
math.CO2024
A necessary and sufficient condition for -transversals
Daniel McGinnis, Nikola Sadovek
We solve a long-standing open problem posed by Goodman \& Pollack in 1988 by establishing a necessary and sufficient condition for a family of convex sets in to admi…