E. Kolpakov

collaborators

2 papers

math.MG2019

Proof of Radon's theorem by lowering the dimension

Egor Kolpakov

There is the classical Radon theorem. Given integer $d \geq 1$ and $d + 2$ points in d-dimensional space $R^{d}$ . Then these points can be divided into two disjoint subsets whose conve…

math.GT2019

A `converse' to the Constraint Lemma

Egor Kolpakov

The main result is a direct proof of the implication $(L V K F_{k, 3}) \Rightarrow (L T_{3 k - 1, 3})$ below. Consider the following statements: ( $L V K F_{1, 3}$ ) From any 11 points in $ \mathb…