Meets of spatial sublocales
Lu, Tao ; He, Wei ; Wang, Xijuan
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 243-250 / Harvested from Project Euclid
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It is well known that the functor $\Omega: {\bf Sp} \rightarrow {\bf Loc}$ does not preserve meets of subspaces. More generally, the meet of a family of spatial sublocales of a locale is in general not spatial. In this paper, we will give a characterization for those topological spaces for which the functor $\Omega$ preserves meets of subspaces. As a corollary, we give some characterizations for the meet of some spatial sublocales of a locale to be spatial.
Publié le : 2010-04-15
Classification:  Sublocale,  Spatial locale,  06D22,  54A05 
@article{1274896203,
     author = {Lu, Tao and He, Wei and Wang, Xijuan},
     title = {Meets of spatial sublocales},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 243-250},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1274896203}
}

Lu, Tao; He, Wei; Wang, Xijuan. Meets of spatial sublocales. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  243-250. http://gdmltest.u-ga.fr/item/1274896203/