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Direct Constructions of the Paracompact Coreflections of Frames
Authors:M. G. Charalambous
Affiliation:(1) Department of Mathematics, University of the Aegean, Karlovassi, 83200 Samos, Greece
Abstract:We present a general construction from which one can derive in a unified manner (i) the Stone–Ccaronech compactification of a frame, (ii) the Lindelöf coreflection for both frames and nearness frames and (iii) the paracompact coreflection in the category of frames.
Keywords:coreflection  regular  cover regular  normal  compact  Lindelö  f and paracompact frame  nearness
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