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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Format: | Article |
Language: | English |
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Shahid Beheshti University
2021-01-01
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Series: | Categories and General Algebraic Structures with Applications |
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Online Access: | https://cgasa.sbu.ac.ir/article_87513_b8f15e9052fb623c491eaaabd5b1e01e.pdf |