Descriptive Complexity of Function Spaces

DOI10.2307/1999898zbMath0574.54042OpenAlexW4231913325MaRDI QIDQ3694265

Jan van Mill, Roman Pol, David J. Lutzer

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999898

zbMATH Keywords

pointwise convergence topologyBorel complexitycountable regular spacesprojective complexity

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (13)

On Borel ideals ⋮ A countable \(X\) having a closed subspace \(A\) with \(C_ p(A)\) not a factor of \(C_ p(X)\) ⋮ Function Spaces of Low Borel Complexity ⋮ Algebraic objects generated by topological structure ⋮ Compact coverings for Baire locally convex spaces ⋮ A NOTE ON SPACES C_p(X)K-ANALYTIC-FRAMED IN ℝ^X ⋮ On analytic and coanalytic function spaces \(C_ p(X)\) ⋮ A note on condensations of function spaces onto 𝜎-compact and analytic spaces ⋮ Function spaces homeomorphic to the countable product of \(\ell ^ f_ 2\) ⋮ Unnamed Item ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ An example of \(t^*_p\)-equivalent spaces which are not \(t_p\)-equivalent ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

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• Category in function spaces. I
• Function Spaces of Low Borel Complexity
• Cartesian products of Baire spaces

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