Categorical general topology -- reference request I am looking for literature describing general topology in terms of category theory. I would prefer literature which does not assume too much familiarity with category theory, but would appreciate any coherent refrences. 

I recall G. Preuß' book Theory of Topological Structures: An Approach to Categorical Topology and some works by Horst Herrlich (references at that page) as well. 
There have been some conferences on "categorical topology" of which there are proceedings (e.g. this one or this one etc.; this is all pretty old and in vogue in the 70's). This survey might interest you as well, being more recent.
Also, "pointless topology" and frames/locales might interest you as well. This has connections to logic and geometry.
