@InProceedings{jung01, author = {A. Jung and M. Kegelmann and M. A. Moshier}, title = {Stably compact spaces and closed relations}, booktitle = {17th Conference on Mathematical Foundations of Programming Semantics}, editor = {S. Brookes and M. Mislove}, series = {Electronic Notes in Theoretical Computer Science}, year = 2001, volume = 45, publisher = {Elsevier Science Publishers {B.V.}}, note = {24~pages}, abstract = { Stably compact spaces are a natural generalization of compact Hausdorff spaces in the $T_0$ setting. They have been studied intensively by a number of researchers and from a variety of standpoints. In this paper we let the morphisms between stably compact spaces be certain ``closed relations'' and study the resulting categorical properties. Apart from extending ordinary continuous maps, these morphisms have a number of pleasing properties, the most prominent, perhaps, being that they correspond to preframe homomorphisms on the localic side. We exploit this Stone-type duality to establish that the category of stably compact spaces and closed relations has bilimits.} }