Abstract
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.
Citation
Tao Lu. Wei He. Xijuan Wang. "Meets of spatial sublocales." Bull. Belg. Math. Soc. Simon Stevin 17 (2) 243 - 250, april 2010. https://doi.org/10.36045/bbms/1274896203
Information
