Article ID Journal Published Year Pages File Type
4668353 Advances in Mathematics 2006 34 Pages PDF
Abstract

We consider the following problem: given a set X and a function , does there exist a compact Hausdorff topology on X which makes T continuous? We characterize such functions in terms of their orbit structure. Given the generality of the problem, the characterization turns out to be surprisingly simple and elegant. Amongst other results, we also characterize homeomorphisms on compact metric spaces.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)