Metric ?-Frames versus Metric Lindelof Spaces

Abstract

The adjoint relation between the category RegσFrm, of regular σ-frames, Alex, of Alexandroff spaces, are studied in [9]. Here, we introduce the category MσFrm, of metric σ-frames and give the adjoint relation between this category and the category MLSp, of metric Lindelof spaces, and show that MLSp is dually equivalent to the category of Alexandroff metric σ-frames.