Spaces in Which Special Sets are z-Embedded

Author:

Blair Robert L.

Abstract

A subset S of a topological space X is z-embedded in X in case each zero-set of S is the restriction to S of a zero-set of X. (A zero-set is the set of zeros of a real-valued continuous function.) For the basic theory of z-embedding, see [3] and [4] (and see [4] for a comprehensive bibliography of relevant papers).

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 69 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. Connectedness Modulo Realcompactness;Bulletin of the Iranian Mathematical Society;2023-01-23

2. Epi- α -Normality and Epi- β -Normality;Journal of Mathematics;2021-07-19

3. On relative β-normality;Acta Mathematica Hungarica;2019-12-16

4. On the sublocale of an algebraic frame induced by the d-nucleus;Topology and its Applications;2019-08

5. A Lindelöfication;Topology and its Applications;2018-08

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