Abstract: We show that \omega ^{*}\setminus \{p\} is not normal, if p is a limit point of some countable subset of \omega ^{*}, consisting of points of character \omega _{1}. Moreover, such a point p is a Kunen point and a super Kunen point.
Keywords: non-normality point; butterfly point; Kunen point; super Kunen point
DOI: DOI 10.14712/1213-7243.2021.032
AMS Subject Classification: 54D15 54D35 54D40 54D80 54E35 54G20