Metric -frames versus metric lindelof spaces
by
Mojgan Mahmoudi
Shahid Beheshti University, Tehran
Coauthors: Mojgan Vojdani Tabatabaee (Shahid Beheshti University)

A s-frame is a lattice in which countable joins exist and binary meets distribute over countable joins.

Here, we introduce the category MsFrm, of metric s-frames and using the s-frame CozX , of cozero sets of a topological space X, we give the adjoint relation between the category MLSp, of metric Lindelof spaces, and the category MsFrm. We also show that MLSp is dually equivalent to the category of Alexandroff metric s-frames.

Date received: June 11, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagx-19.