Interior and boundary in a locale. (English) Zbl 0999.06009

Adv. Math., Beijing 29, No. 4, 357-361 (2000); ibid. 29, No. 5, 439-443 (2000).
Summary: In this paper, interior and boundary of sublocales in a locale are defined and some properties of interior and boundary are given. A localic version of Kuratowski’s theorem is obtained.
Remark: The first version of this paper, in Vol. 29, No. 4, suffers from some serious misprints. The corrected version can be found in Vol. 29, No. 5.


06D22 Frames, locales
54B05 Subspaces in general topology