Selective separability of Pixley-Roy hyperspaces

DOI10.1016/j.topol.2011.03.017zbMath1251.54015OpenAlexW2032872520MaRDI QIDQ408568

Masami Sakai

Publication date: 10 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.03.017

zbMATH Keywords

hyperspacePixley-Royselective separable

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Separability of topological spaces (54D65)

Related Items (16)

Selection principles of the Fell topology and the Vietoris topology ⋮ On two selection principles and the corresponding games ⋮ Variations on selective separability in non-regular spaces ⋮ Comparing weak versions of separability ⋮ Further applications of bornological covering properties in function spaces ⋮ Generalized time-fractional telegrapher's equation in transmission line modeling ⋮ Tight points of Pixley-Roy hyperspaces ⋮ The Rothberger property on \(C_p(X,2)\) ⋮ The Hurewicz separability of Pixley-Roy hyperspaces ⋮ Selection principles and bitopological hyperspaces ⋮ Diagonalizations of dense families ⋮ Remarks on the Menger property of \(C_{p}(X,2)\) ⋮ Selectors for sequences of subsets of hyperspaces ⋮ Selective versions of chain condition-type properties ⋮ The Menger property on \(C_p(X, 2)\) ⋮ Selection games on hyperspaces

Cites Work

• Selective separability and its variations
• On \(M\)-separability of countable spaces and function spaces
• Variations of selective separability
• Pixley-Roy spaces over subsets of the reals
• Proper forcing
• Some properties of C(X). I
• \(\pi\) (X)\(=\delta (X)\) for compact X
• The length of some diagonalization games
• Ultrafilters with small generating sets
• Combinatorics of open covers. I: Ramsey theory
• Combinatorics of open covers. V: Pixley-Roy spaces of sets of reals, and \(\omega\)-covers
• The combinatorics of open covers. II
• [https://portal.mardi4nfdi.de/wiki/Publication:3032970 Property C � � and Function Spaces]
• On some questions about selective separability
• Cardinal Functions on Pixley-Roy Hyperspaces
• COMBINATORICS OF OPEN COVERS VI: SELECTORS FOR SEQUENCES OF DENSE SETS
• Cardinalities of dense sets
• A quintuple quotient quest
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