Axiomatising categories of spaces: the case of compact Hausdorff spaces

Abstract

In this talk I will report on recent joint work (see [4]) with Vincenzo Marra on a categorical characterisation of the category KH of compact Hausdorff spaces and continuous maps. The characterisation of subcategories of Top, the category of topological spaces and continuous maps, is an important concern of categorical topology. At the same time it can provide, in some cases, an abstract approach to dualities for categories of spaces.