Countable compactness of hyperspaces and Ginsburg's questions

DOI10.1016/J.TOPOL.2004.05.001zbMath1054.54017OpenAlexW1985284567MaRDI QIDQ1886713

Jiling Cao, Tsugunori Nogura, Artur Hideyuki Tomita

Publication date: 19 November 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.05.001

zbMATH Keywords

hyperspaceVietoris topologyhomogeneous spacecountably compact spacepseudocompact space

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Counterexamples in general topology (54G20)

Related Items (7)

Countably compact hyperspaces and Frolík sums ⋮ Pseudocompactness of hyperspaces ⋮ Small cardinals and the pseudocompactness of hyperspaces of subspaces of \(\beta\omega\) ⋮ Maximal almost disjoint families and pseudocompactness of hyperspaces ⋮ Small MAD families whose Isbell--Mr\'owka space has pseudocompact hyperspace ⋮ Pseudocompactness and Ultrafilters ⋮ Topology of Mrówka-Isbell Spaces

Cites Work

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• Some Results on the Countable Compactness and Pseudocompactness of Hyperspaces
• Sums of ultrafilters
• Normality and Properties Related to Compactness in Hyperspaces
• A new kind of compactness for topological spaces
• Topologies on Spaces of Subsets
• On the Cartesian Product of Two Compact Spaces

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