Linear Topological Classifications of Certain Function Spaces

DOI10.2307/2001815zbMath0769.46010OpenAlexW4235678635MaRDI QIDQ3982153

Vesko M. Valov

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2001815

zbMATH Keywords

Hilbert cubetopology of pointwise convergenceMenger compactum\(\ell_ 2\)-manifoldlinear topological classificationspaces of all continuous functions on a topological space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Compact (locally compact) metric spaces (54E45) (C)- and (C^*)-embedding (54C45) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) (k)-spaces (54D50)

Related Items (4)

Linear topological classification of certain function spaces on manifolds and CW complexes ⋮ Spaces \(u\)-equivalent to the \(n\)-cube ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

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• Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence
• On compacta which are \(\ell\)-equivalent to \(I^ n\)
• On topological and linear homeomorphisms of certain function spaces
• An extension of Tietze's theorem
• Projections in certain Banach spaces
• Remarks on Cartesian products
• The Continuity of Functions on Cartesian Products
• Characterizing 𝑘-dimensional universal Menger compacta

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