Sergei Logunov
On hereditary normality of \omega ^*, Kunen points and character \omega_{1}

Comment.Math.Univ.Carolin. 62,4 (2021) 507-511.

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