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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.

MSC:

06D22 Frames, locales
54B05 Subspaces in general topology
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