MathDB
Miklós Schweitzer 2007 Problem 6

Source:

March 3, 2017
Miklos Schweitzerset theory

Problem Statement

For which subsets A⊂RA\subset \mathbb R is it true that whenever 0≤x0<x1<⋯<xn≤10\leq x_0 < x_1 < \cdots < x_n\leq 1, n=1,2,…n=1,2, \ldots, then there exist yj∈Ay_j\in A numbers, such that yj+1−yj>xj+1−xjy_{j+1}-y_j>x_{j+1}-x_j for all 0≤j<n0\leq j < n.
(translated by Miklós Maróti)
Back to ProblemsView on AoPS