Source: wikibot/borel-fixed-point-theorem
= Borel fixed-point theorem
{wiki=Borel_fixed-point_theorem}
The Borel fixed-point theorem is a result in topology, particularly in the context of more general spaces than just traditional fixed-point theorems. It states that any continuous function from a compact convex set in a finite-dimensional Euclidean space to itself has at least one fixed point.