Geodesic
On non-normality points, Tychonoff products and Suslin number
Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 1, pp. 131-134.

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Let a space $X$ be Tychonoff product $\prod_{\alpha \tau}X_{\alpha}$ of $\tau$-many Tychonoff nonsingle point spaces $X_{\alpha}$. Let Suslin number of $X$ be strictly less than the cofinality of $\tau$. Then we show that every point of remainder is a non-normality point of its Čech--Stone compactification $\beta X$. In particular, this is true if $X$ is either $R^{\tau}$ or $\omega ^{\tau}$ and a cardinal $\tau$ is infinite and not countably cofinal.
DOI : 10.14712/1213-7243.2022.004
Classification : 54D15, 54D35, 54D40, 54D80, 54E35, 54G20
Keywords: non-normality point; Čech--Stone compactification; Tychonoff product; Suslin number 
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Logunov, Sergei. On non-normality points, Tychonoff products and Suslin number. Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 1, pp. 131-134. doi : 10.14712/1213-7243.2022.004. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2022.004/

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