Exponential density has a bidual in function spaces

DOI10.1007/S40879-021-00465-WzbMath1476.54012OpenAlexW3159222765WikidataQ115600371 ScholiaQ115600371MaRDI QIDQ2049071

Vladimir V. Tkachuk

Publication date: 24 August 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-021-00465-w

zbMATH Keywords

function space\(C_p\)-theoryexponential \(\kappa\)-domination\(\kappa\)-projectiveexponential \(\kappa\)-cofinality

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Counterexamples in general topology (54G20)

Cites Work

• Small diagonal of \(X\) and calibers of \(C_{p}(X)\)
• Exponential density vs exponential domination
• Domination by small sets versus density
• A \(C_p\)-theory problem book. Compactness in function spaces
• A \(C_p\)-theory problem book. Special features of function spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• STRUCTURE AND CLASSIFICATION OF TOPOLOGICAL SPACES AND CARDINAL INVARIANTS
• Having a Small Weight is Determined by the Small Subspaces
• Exponential domination in function spaces
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