Geodesic
Non-normality points and nice spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 3, pp. 383-392.

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J. Terasawa in "$\beta X-\{p\}$ are non-normal for non-discrete spaces $X$" (2007) and the author in "On non-normality points and metrizable crowded spaces" (2007), independently showed for any metrizable crowded space $X$ that each point $p$ of its Čech--Stone remainder $X^{*}$ is a non-normality point of $\beta X$. We introduce a new class of spaces, named nice spaces, which contains both of Sorgenfrey line and every metrizable crowded space. We obtain the result above for every nice space.
DOI : 10.14712/1213-7243.2021.019
Classification : 54D15, 54D35, 54D40, 54D80, 54E35, 54G20
Keywords: non-normality point; butterfly-point; nice family; nice space; metrizable crowded space; Sorgenfrey line 
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Logunov, Sergei. Non-normality points and nice spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 3, pp. 383-392. doi : 10.14712/1213-7243.2021.019. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.019/

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