Some cardinal generalizations of pseudocompactness

Teklehaimanot Retta

Displaying similar documents to “Some cardinal generalizations of pseudocompactness”

Some results and problems about weakly pseudocompact spaces

Oleg Okunev, Angel Tamariz-Mascarúa (2000)

Commentationes Mathematicae Universitatis Carolinae

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A space $X$ is if $X$ is either weakly pseudocompact or Lindelöf locally compact. We prove: (1) every locally weakly pseudocompact space is truly weakly pseudocompact if it is either a generalized linearly ordered space, or a proto-metrizable zero-dimensional space with $χ (x, X) > ω$ for every $x \in X$ ; (2) every locally bounded space is truly weakly pseudocompact; (3) for $ω < κ < α$ , the $κ$ -Lindelöfication of a discrete space of cardinality $α$ is weakly pseudocompact if $κ = κ^{ω}$ .

On weakly bisequential spaces

Chuan Liu (2000)

Commentationes Mathematicae Universitatis Carolinae

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Weakly bisequential spaces were introduced by A.V. Arhangel'skii [1], in this paper. We discuss the relations between weakly bisequential spaces and metric spaces, countably bisequential spaces, Fréchet-Urysohn spaces.

The axiom of determinateness implies $ω_{2}$ has precisely two countably complete, uniform, weakly normal ultrafilters

Robert Mignone (1983)

Fundamenta Mathematicae

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Weakly Hausdorff spaces and the cardinality of topological spaces

Soundararajan, T.

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Displaying similar documents to “Some cardinal generalizations of pseudocompactness”

Some results and problems about weakly pseudocompact spaces

On weakly bisequential spaces

The axiom of determinateness implies ω 2 has precisely two countably complete, uniform, weakly normal ultrafilters

Weakly Hausdorff spaces and the cardinality of topological spaces

The axiom of determinateness implies $ω_{2}$ has precisely two countably complete, uniform, weakly normal ultrafilters