Some separation axioms in topoframes

This paper is about the extension of some classical separation axioms Hausdorffness, regularity and complete regularity to topoframes. We show that they agree with those in frames except perhaps for complete regularity. The interesting results are about complete regularity, in particular when and how these differ from the frame results. These together with the results about B-filters are the focus of the paper.

Keywords:

Completely regular , Filter , Frame , Hausdorff , Regular , Topoframe