Displaying similar documents to “A sufficient condition for maximal resolvability of topological spaces”

On resolvable spaces and groups

Luis Miguel Villegas-Silva (1995)

Commentationes Mathematicae Universitatis Carolinae

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It is proved that every uncountable ω -bounded group and every homogeneous space containing a convergent sequence are resolvable. We find some conditions for a topological group topology to be irresolvable and maximal.

Cardinal inequalities implying maximal resolvability

Marek Balcerzak, Tomasz Natkaniec, Małgorzata Terepeta (2005)

Commentationes Mathematicae Universitatis Carolinae

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We compare several conditions sufficient for maximal resolvability of topological spaces. We prove that a space X is maximally resolvable provided that for a dense set X 0 ⊂ X and for each x ∈ X 0 the π -character of X at x is not greater than the dispersion character of X . On the other hand, we show that this implication is not reversible even in the class of card-homogeneous spaces.

Remarks on dense subspaces

Eva Murtinová (2004)

Czechoslovak Mathematical Journal

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Some constructions of spaces with/without dense subspaces satisfying stronger separation axioms are presented.