A property of 𝐶_{𝑝}[0,1]

DOI10.1090/S0002-9947-2010-05052-4zbMath1221.54021arXiv0806.2719OpenAlexW2907355329MaRDI QIDQ3003602

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Publication date: 27 May 2011

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

Full work available at URL: https://arxiv.org/abs/0806.2719

zbMATH Keywords

topology of pointwise convergencebasic embeddingsfunction spaces (general topology)

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Dimension theory in general topology (54F45)

Related Items (7)

Linear continuous surjections of \(C_{p}\)-spaces over compacta ⋮ Nonlinear model order reduction for flexible multibody dynamics: a modal derivatives approach ⋮ Free subspaces of free locally convex spaces ⋮ Hilbert 13: Are there any genuine continuous multivariate real-valued functions? ⋮ Spaces \(\ell\)-dominated by \(I\) or \(\mathbb{R}\) ⋮ EMBEDDINGS OF FREE TOPOLOGICAL VECTOR SPACES ⋮ On uniformly continuous maps between function spaces

Cites Work

• Superpositions of continuous functions
• Certain finite dimensional maps and their application to hyperspaces
• On linear continuous open surjections of the spaces \(C_ p(X)\)
• The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval
• On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition
• Dimension of metric spaces and Hilbert’s problem 13
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