Closed discrete selections for sequences of open sets in function spaces

DOI10.1007/S10474-017-0756-9zbMath1399.54047OpenAlexW2754315489MaRDI QIDQ1705191

Vladimir V. Tkachuk

Publication date: 14 March 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0756-9

zbMATH Keywords

selectionfunction space\(\omega\)-monolitic spaceclosed discrete setdiscretely selective spaceessentially uncountable spaceLindelöf \(\sum\)-space

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Counterexamples in general topology (54G20)

Related Items (8)

Selection games on continuous functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some applications of discrete selectivity and Banakh property in function spaces ⋮ Closed Discrete Selection in the Compact Open Topology ⋮ Two point-picking games derived from a property of function spaces ⋮ Open discrete shrinkings in function spaces ⋮ Limited information strategies and discrete selectivity

Cites Work

• A pseudocompact Tychonoff space all countable subsets of which are closed and \(C^*\)-embedded
• If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable
• Strong domination by countable and second countable spaces

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