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Currently displaying 1 – 3 of 3

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On matrix points in Čech--Stone compactifications of discrete spaces

Anatoly A. Gryzlov — 1991

Commentationes Mathematicae Universitatis Carolinae

We prove the existence of $(2^{τ}, τ)$ -matrix points among uniform and regular points of Čech–Stone compactification of uncountable discrete spaces and discuss some properties of these points.

Cardinal invariants and compactifications

Anatoly A. Gryzlov — 1994

Commentationes Mathematicae Universitatis Carolinae

We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace of cardinality at most $d {(X)}^{t (X)}$ , and some facts about cardinal invariants of compact spaces.

Topological spaces with a selected subset-cardinal invariants and inequalities

Anatoly A. Gryzlov; Dimitrina N. Stavrova — 1994

Commentationes Mathematicae Universitatis Carolinae

Cardinal functions for topological spaces in which a subset is selected in a certain way are defined and studied. Most of the main cardinal inequalities are generalized for such spaces.

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