Cardinal functions of Pixley-Roy hyperspaces

DOI10.1016/j.topol.2012.05.020zbMath1273.54004OpenAlexW1967100067MaRDI QIDQ439307

Masami Sakai

Publication date: 16 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.05.020

zbMATH Keywords

hyperspacetightnessstar LindelöfDCCCPixley-Royweakly LindelöfCCCfeebly Lindelöfprecalibersupertightnessweakly separated

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (10)

On properties related to star countability ⋮ The weak Hurewicz property of Pixley-Roy hyperspaces ⋮ Tight points of Pixley-Roy hyperspaces ⋮ Star versions of the Menger property ⋮ Weakly separated spaces and Pixley-Roy hyperspaces ⋮ The Hurewicz separability of Pixley-Roy hyperspaces ⋮ Remarks on monotone (weak) Lindelöfness ⋮ The star countable spread and star ccc property ⋮ Further results on cellular-Lindelöf spaces ⋮ Notes on selectively 2-star-ccc spaces

Cites Work

• Remarks on countability and star covering properties
• Star-covering properties: generalized \(\Psi \)-spaces, countability conditions, reflection
• Countability and star covering properties
• First countable pseudocompactifications
• Pixley-Roy spaces over subsets of the reals
• Some properties of C(X). I
• When is a Pixley-Roy hyperspace CCC?
• Concerning semi-stratifiable spaces
• Cardinal Functions on Pixley-Roy Hyperspaces
• Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces
• Normality and paracompactness of Pixley-Roy hyperspaces
• The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition
• The Discrete Countable Chain Condition
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