MathDB
Miklos Schweitzer 1968_3

Source:

October 8, 2008
functionreal analysisreal analysis unsolved

Problem Statement

Let K K be a compact topological group, and let F F be a set of continuous functions defined on K K that has cardinality greater that continuum. Prove that there exist x0∈K x_0 \in K and f \not\equal{}g \in F such that f(x_0)\equal{}g(x_0)\equal{}\max_{x\in K}f(x)\equal{}\max_{x \in K}g(x). I. Juhasz
Back to ProblemsView on AoPS