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Some Notes on <Emphasis Type="Italic">C</Emphasis>- and <Emphasis Type="Italic">C</Emphasis>*-quotients of Frames
Authors:Themba Dube
Institution:(1) Department of Mathematical Sciences, University of South Africa, P.O. Box 392, 0003 Unisa, South Africa
Abstract:We characterise C*-quotients and C-quotients of completely regular frames in terms of ?ech-Stone compactifications and Lindelöfications, respectively. The latter is a frame-theoretic result with no spatial counterpart. We also characterise C*-quotients and dense C-quotients of completely regular frames in terms of normal covers.
Keywords:Frame  Frame quotient            C-quotient            C*-quotient  Normal cover
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