This paper by Clementino, Giuli and Tholen may be obtained by writing to:
Manuel Clementino
clementino@gemini.ci.uc.pt
In a category with a subobject structure and a closure operator, we provide a categorical theory of compactness and perfectness which yields a number of classical results of general topology as special cases, including the product theorems by Tychonoff and Frolik and the existence of Stone-Cech compactifications, both for spaces and maps. Applications to other categories are also provided.