Methods of the theory of cardinal invariants and the theory of mappings as applied to spaces of functions

DOI10.1007/BF00970165zbMath0739.46008MaRDI QIDQ1814393

Vladimir V. Tkachuk

Publication date: 25 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

locally convex spacesduality theoremTychonoff spacepointwise topologyperfect normalitycomplete normalitycomplete countable paracompactnessnormal noncountable paracompactnessset of all real valued continuous functions

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (6)

What if \(C_ p(X)\) is perfectly normal? ⋮ Spaces of continuous functions defined on Mrówka spaces ⋮ On \(F_\sigma\text{-}\delta\)-normality and hereditary \(\delta\)-normality ⋮ A comparative survey of selected results and open problems concerning topological groups, fields and vector spaces ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

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• The spaces \(C_ p(X):\) decomposition into a countable union of bounded subspaces and completeness properties
• Pseudo-completeness and the product of Baire spaces
• Countable Paracompactness of F σ -Sets
• A normal space X for which X×I is not normal

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