Some types of points in \(N^*\). (English) Zbl 0566.54011

Gryzlov, A.

Rend. Circ. Mat. Palermo, II. Ser., Suppl. 6, 137-138 (1984).

The author announces the following results: (1) There are \(2^ c\) matrix points in \(N^*\), (2) if x is a strict R-point in \(N^*\) then \(N^*\setminus \{x\}\) is not normal (each matrix point is a strict R- point), and (3) there are \(2^ c\) 0-points in \(N^*\).

Reviewer: J.van Mill

MSC:

54D35	Extensions of spaces (compactifications, supercompactifications, completions, etc.)
54A25	Cardinality properties (cardinal functions and inequalities, discrete subsets)

Keywords:

remainder of the countable; discrete space; matrix points; strict R- point; 0-points