A new pointfree form of subspaces

Author:

Zarghani Mohammad1,Estaji Ali1

Affiliation:

1. Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran

Abstract

This paper concerns sub-topolocales as a generalization of subspaces which are determined by their lattice of open sets. We first study topolocales (dual of topoframes), and sub-topolocales with the connectivity properties of them. Then we show that every sub-topolocale of a regular (resp., completely regular) topolocale is regular (resp., completely regular). Finally, we show that sub-topolocales of a normal topolocale are not necessary normal unless we rewrite this for the special cases.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 3 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. Base and Weight of Boolean I-Contact Algebras;Bulletin of the Iranian Mathematical Society;2021-07-05

2. Topobooleans and Boolean contact algebras with interpolation property;Filomat;2021

3. z-Ideals in the Real Continuous Function Ring $$ {\mathcal {R}}(L_{ \tau }) $$;Bulletin of the Iranian Mathematical Society;2019-05-22

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