Weak topology of spaces of continuous functions

DOI10.1007/BF01140219zbMath0505.54016OpenAlexW1977810091MaRDI QIDQ1836411

Nikolay V. Velichko

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01140219

zbMATH Keywords

charactertopology of pointwise convergenceweighthereditary Lindelöfnesshereditary separabilitypi-weightpi-character

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (16)

Lindelöf spaces of continuous functions ⋮ On Lindelöf sets of continuous functions ⋮ What if \(C_ p(X)\) is perfectly normal? ⋮ Final compactness is not preserved under products of spaces of the form \(C_ p(X)\) ⋮ Algebraic objects generated by topological structure ⋮ On generalization of theorems of Pestryakov ⋮ Distinguished \(C_p (X)\) spaces ⋮ On the \(\sigma\)-countable compactness of spaces of continuous functions with the set-open topology ⋮ On Lindelöf property and spread in \(C_ p\)-theory ⋮ On spread and condensations ⋮ Lindelöf powers and products of function spaces ⋮ Some cardinal function relationships between \(C_ P(X)\) and finite powers of a space \(X\) ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Embeddings in \(C_p\)-spaces ⋮ Special issue on \(C_p(X)\)-theory ⋮ Countable tightness and the Grothendieck property in \(C_p\)-theory

Cites Work

• A note on certain function spaces
• Normality in function spaces
• The Density Character of Function Spaces

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