If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable

DOI10.1016/j.jmaa.2017.05.024zbMath1394.54001OpenAlexW2613447206MaRDI QIDQ2360011

Yanyan Li

Publication date: 23 June 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.05.024

zbMATH Keywords

dominationfunction spacespace of irrational numberscompact spacesecond countable spacestrong domination

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

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