Pavel Paták

Bounds for Pach's Selection Theorem and for the Minimum Solid Angle in a Simplex

We estimate the selection constant in the following geometric selection theorem by Pach: For every positive integer d, there is a constant

A Direct Proof of the Strong Hanani–Tutte Theorem on the Projective Plane

c_d > 0

Three-Monotone Interpolation

cd>0 such that whenever

On Generalized Heawood Inequalities for Manifolds: A Van Kampen-Flores-type Nonembeddability Result

X_1, \ldots , X_{d+1}

Tverberg type theorems for matroids

X1,…,Xd+1 are n-element subsets of