A note on condensations of function spaces onto 𝜎-compact and analytic spaces

DOI10.1090/S0002-9939-2015-12507-5zbMath1321.54043arXiv1312.6081MaRDI QIDQ5179407

Mikołaj Krupski

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6081

zbMATH Keywords

condensationfunction spacepointwise convergence topology\(C_p(X)\)realcompact space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Realcompactness and realcompactification (54D60)

Related Items (1)

A construction of a Banach space \(C(K)\) with few operators

Cites Work

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• A \(C_p\)-theory problem book. Topological and function spaces
• Condensations of Cp(X) onto σ-compact spaces
• Descriptive Complexity of Function Spaces
• Condensations of projective sets onto compacta
• A function space 𝐶_{𝑝}(𝑋) without a condensation onto a 𝜎-compact space
• On condensations of $C_{p}$-spaces onto compacta

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