On the cardinality of n-Urysohn and n-Hausdorff spaces

Maddalena Bonanzinga; Maria Cuzzupé; Bruno Pansera

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Displaying similar documents to “On the cardinality of n-Urysohn and n-Hausdorff spaces”

Two cardinal inequalities for functionally Hausdorff spaces

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In this paper, two cardinal inequalities for functionally Hausdorff spaces are established. A bound on the cardinality of the $τ θ$ -closed hull of a subset of a functionally Hausdorff space is given. Moreover, the following theorem is proved: if $X$ is a functionally Hausdorff space, then $| X | \leq 2^{χ (X) wcd (X)}$ .

On the cardinality of Hausdorff spaces.

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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.

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