Some applications of discrete selectivity and Banakh property in function spaces
DOI10.1007/s40879-019-00342-7zbMath1481.54015OpenAlexW2944901598WikidataQ127828887 ScholiaQ127828887MaRDI QIDQ1987690
Publication date: 15 April 2020
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40879-019-00342-7
function spacesmetrizable spaceLindelöf \(\Sigma\)-spaceBanakh propertyessentially uncountable spacediscrete selectivitydomination by a spacestrong domination by a space
Continuous maps (54C05) Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Compactness in topological linear spaces; angelic spaces, etc. (46A50)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Domination by second countable spaces and Lindelöf \(\Sigma \)-property
- On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
- Many Eberlein-Grothendieck spaces have no non-trivial convergent sequences
- On compactness in locally convex spaces
- Espaces de Banachs faiblement K-analytiques
- Closed discrete selections for sequences of open sets in function spaces
- A \(C_p\)-theory problem book. Compactness in function spaces
- If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable
- A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
- On the weak and pointwise topologies in function spaces. II.
- Strong domination by countable and second countable spaces
- A \(C_p\)-theory problem book. Special features of function spaces
- A \(C_p\)-theory problem book. Topological and function spaces
- Some extension theorems for continuous functions
This page was built for publication: Some applications of discrete selectivity and Banakh property in function spaces