Displaying similar documents to “On the Noetherian type of topological spaces”

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.

A sufficient condition for maximal resolvability of topological spaces

Jerzy Bienias, Małgorzata Terepeta (2004)

Commentationes Mathematicae Universitatis Carolinae

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We show a new theorem which is a sufficient condition for maximal resolvability of a topological space. We also discuss some relationships between various theorems about maximal resolvability.