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Locally Connected Compactifications of Frames
by
Dharmanand Baboolal
Department of Mathematics, University of Durban-Westville, Private Bag X54001, Durban 4000, South Africa
Necessary and sufficient conditions are given for an arbitrary completely regular frame to have a locally connected compactification. The conditions given are in terms of the concepts of weak property S and uniform local uniform connectedness, both of which are uniform concepts in the sense of being defined for uniform frames.
Date received: April 7, 1999
Copyright © 1999 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 # cacl-07.