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Keywords:
frame; $\sigma$-frame; realcompactification
frame; $\sigma$-frame; realcompactification
Summary:
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 $L$.
References:
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[4] Johnstone P.T.: Stone Spaces. Cambridge Studies in Advanced Math. 3, Cambridge Univ. Press, 1982. MR 0698074 | Zbl 0586.54001
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