Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$

Let $X$ be a zero-dimensional space and $C_c(X)$ denote the functionally countable subalgebra of $C(X)$. It is well known that $\beta_0X$ (the Banaschewski compactfication of $X$) is a quotient space of $\beta X$. In this article, we investigate a construction of $\beta_0X$ via $\beta X$ by using $C...

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Bibliographic Details
Main Author: Mehdi Parsinia
Format: Article
Language:English
Published: Shahid Beheshti University 2021-01-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:https://cgasa.sbu.ac.ir/article_87513_b8f15e9052fb623c491eaaabd5b1e01e.pdf