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math.CO2026
On colorful generalizations of the Goodman--Pollack transversal problem
Nikola Sadovek
We establish a colorful and, more generally, matroidal solution to the problem of Goodman and Pollack on the existence of an -affine -dimensional transversal to a fa…
math.CO2024
Complex analogues of the Tverberg--Vrećica conjecture and central transversal theorems
Nikola Sadovek, Pablo Soberón
The Tverberg--Vrećica conjecture claims a broad generalization of Tverberg's classical theorem. One of its consequences, the central transversal theorem, extends both the centerpoi…