Abstract: 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.
Keywords: non-normality point; Čech-Stone compactification; Tychonoff product; Suslin number
DOI: DOI 10.14712/1213-7243.2022.004
AMS Subject Classification: 54D15 54D35 54D40 54D80 54E35 54G20