Abstract
AbstractIn this paper we study the weak versions of the fibrewise separation axioms for locales over a base locale, whose introduction has been made possible by the development, in a previous paper by the author, of the fibrewise notion of closure for sublocales of locales over a base. We establish the implications which hold between these axioms and the traditional separation axioms for locales, and give counter-examples to show that some of these implications are irreversible.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Notes on sublocales and dissolution;Quaestiones Mathematicae;2024-05-15
2. Frames and Locales;Frontiers in Mathematics;2012
3. Intuitionistic Quantum Logic of an n-level System;Foundations of Physics;2009-04-21
4. Regular monomorphisms of Hausdorff frames;Applied Categorical Structures;2001
5. Elements of the History of Locale Theory;Handbook of the History of General Topology;2001