All Cluster Points of Countable Sets in Supercompact Spaces are the Limits of Nontrivial Sequences

DOI10.2307/2161053zbMath0811.54022OpenAlexW4250715322MaRDI QIDQ4313355

Yang, Zhongqiang

Publication date: 16 November 1994

Full work available at URL: https://doi.org/10.2307/2161053

zbMATH Keywords

supercompact spacenontrivial sequence

Mathematics Subject Classification ID

Compactness (54D30)

Related Items (3)

On a problem of Akin and Carlson on dense orbits and transitivity ⋮ Normally supercompact spaces and completely distributive posets ⋮ Supercompact minus compact is super

Cites Work

• Supercompact spaces
• Continuous images of ordered compacta are regular supercompact
• Supercompactness of Compactifications and Hyperspaces
• A first countable supercompact Hausdorff space with a closed $G_δ$ nonsupercompact subspace
• Special bases for compact metrizable spaces
• A Simpler Proof that Compact Metric Spaces are Supercompact
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