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Some new cardinal inequalities involving a cardinal function less than the spread and the density

Shu Hao Sun; Koo Guan Choo — 1990

Commentationes Mathematicae Universitatis Carolinae

New properties of the concentric circle space and its applications to cardinal inequalities

Shu Hao Sun; Koo Guan Choo — 1991

Commentationes Mathematicae Universitatis Carolinae

It is well-known that the concentric circle space has no $G_{δ}$ -diagonal nor any countable point-separating open cover. In this paper, we reveal two new properties of the concentric circle space, which are the weak versions of $G_{δ}$ -diagonal and countable point-separating open cover. Then we introduce two new cardinal functions and sharpen some known cardinal inequalities.

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