Cardinal invariants and compactifications
We prove that every compact space is a Čech-Stone compactification of a normal subspace of cardinality at most , and some facts about cardinal invariants of compact spaces.
On matrix points in Čech--Stone compactifications of discrete spaces
We prove the existence of -matrix points among uniform and regular points of Čech–Stone compactification of uncountable discrete spaces and discuss some properties of these points.
Topological spaces with a selected subset-cardinal invariants and inequalities
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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