More on Locales in Which Every Open Sublocale is z-embedded

Authors

Themba Dube, University of South Africa
Oghenetega Ighedo, Chapman UniversityFollow

Document Type

Article

Publication Date

12-22-2015

Abstract

The locales which have the feature stated in the title (we shall call them Oz-locales) were introduced by Banaschewski and Gilmour as localic extensions of Blair's Oz-spaces. In this note we give further characterisations of Oz-locales and their generalisations which we shall call weak Oz-locales. These characterisations include ring-theoretic ones which are new even for spaces. Among locales L which satisfy some weaker forms of normality, we characterise those for which βL is an Oz-locale.

Comments

This article was originally published in Topology and its Applications, volume 201, in 2016. https://doi.org/10.1016/j.topol.2015.12.030

Recommended Citation

T. Dube & O. Ighedo: More on locales whose open sublocales are z-embedded. Topology and its Applications, 201 (2016), 110-123. https://doi.org/10.1016/j.topol.2015.12.030

Peer Reviewed

1

Copyright

Elsevier