Two set-theoretic problems in topology
Juhász, I.
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Displaying similar documents to “Extraresolvability of balleans”
Two set-theoretic problems in topology
Covering of a space by nowhere dense sets
Petr Simon (1977)
Commentationes Mathematicae Universitatis Carolinae
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On the cardinality of Hausdorff spaces
Alessandro Fedeli (1998)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to show, using the reflection principle, three new cardinal inequalities. These results improve some well-known bounds on the cardinality of Hausdorff spaces.
Property and dominating families
Samuel Gomes da Silva (2005)
Commentationes Mathematicae Universitatis Carolinae
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Generalizations of earlier negative results on Property are proved and two questions on an -version of Jones’ Lemma are posed. We discuss these questions in the realm of locally compact spaces. Using dominating families of functions as a tool, we prove that under the assumptions “ is regular” and “” the existence of a separable locally compact -space with an uncountable closed discrete subset implies the existence of inner models with measurable cardinals. We also use cardinal...