On linear continuous open surjections of the spaces \(C_ p(X)\)

DOI10.1016/S0166-8641(97)00034-5zbMath0888.54020MaRDI QIDQ1375166

J. Ning

Publication date: 12 January 1998

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

topology of pointwise convergencefree locally convex spacelinear continuous surjection

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Dimension theory in general topology (54F45)

Related Items (9)

Linear continuous surjections of \(C_{p}\)-spaces over compacta ⋮ EMBEDDING OF THE FREE ABELIAN TOPOLOGICAL GROUP INTO ⋮ Open problems in topology. ⋮ A property of 𝐶_{𝑝}[0,1] ⋮ On linear continuous operators between distinguished spaces \(C_p(X)\) ⋮ Spaces \(\ell\)-dominated by \(I\) or \(\mathbb{R}\) ⋮ Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished ⋮ EMBEDDINGS OF FREE TOPOLOGICAL VECTOR SPACES ⋮ On uniformly continuous maps between function spaces

Cites Work

• The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval
• Dimension of metric spaces and Hilbert’s problem 13
• Higher-Dimensional Hereditarily Indecomposable Continua
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