Stably Continuous σ- Frames

Abstract

It is shown that the categories of stably continuous σ-frames
and compact regular σ-biframes are equivalent. This is the analogue
of Banaschewski and Brümmer [1], linking the stably continuous frames and compact
regular biframes.
Mathematics Subject Classification (1991): 54D30, 54D20, 06B35, 06D05
Keywords: stably continuous s-frames, compact regular s-biframes, compactness,
noncompact covering properties, continuous lattices,generalizations,applications,
structure and representation theory, categories, category, stably continuous
frame, frames, frame

Quaestiones Mathematicae 24(2) 2001, 201-211