Realcompactification of frames
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 347-356
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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 $L$.
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 $L$.
Classification :
18A99, 18D35, 54D20, 54D35, 54D52, 54D60, 54J05
Keywords: frame; $\sigma$-frame; realcompactification
Keywords: frame; $\sigma$-frame; realcompactification
@article{CMUC_1995_36_2_a12,
author = {Marcus, Nizar},
title = {Realcompactification of frames},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {347--356},
year = {1995},
volume = {36},
number = {2},
mrnumber = {1357534},
zbl = {0840.54027},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1995_36_2_a12/}
}
Marcus, Nizar. Realcompactification of frames. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 347-356. http://geodesic.mathdoc.fr/item/CMUC_1995_36_2_a12/