Nizar Marcus
Realcompactification of frames

Comment.Math.Univ.Carolinae 36,2 (1995) 349-358.

Abstract:We give a construction of Wallman-type realcompactifications of a frame $L$ by considering regular sub $\sigma $-frames the join of which generates $L$. In particular, we show that the largest such regular sub $\sigma $-frame gives rise to the universal realcompactification of $L$.

Keywords: frame, $\sigma $-frame, realcompactification
AMS Subject Classification: 18D35, 54D35, 54D52, 54J05

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