Function spaces homeomorphic to the countable product of \(\ell ^ f_ 2\)

DOI10.1016/0166-8641(90)90077-FzbMath0691.57009MaRDI QIDQ582637

Jianyong Qiao, Sumit K. Garg

Publication date: 1990

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

zbMATH Keywords

Hilbert spaceabsorbing setstrongly universal spacepointwise convergence topologynondiscrete countable metric spacespace of continuous real-valued functions

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topology of topological vector spaces (57N17) Topology of infinite-dimensional manifolds (57N20)

Related Items (16)

\(p\)-Fréchet-Urysohn property of function spaces ⋮ On properties of metrizable spacesXpreserved byt‐equivalence ⋮ A metrizable \(X\) with \(C_p(X)\) not homeomorphic to \(C_p(X) \times C_p(X)\) ⋮ Recent classification and characterization results in geometric topology ⋮ On topological and linear homeomorphisms of certain function spaces ⋮ Applying Coordinate Products to the Topological Identification of Normed Spaces ⋮ Absolute Borel sets and function spaces ⋮ Function Spaces of Completely Metrizable Spaces ⋮ Absorbing systems in infinite-dimensional manifolds ⋮ On compact weaker topologies in function spaces ⋮ Compact covers and function spaces ⋮ A relation between spaces implied by their \(t\)-equivalence ⋮ On the \(l_p^\ast\)-equivalence of metric spaces ⋮ 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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• On Cartesian factors and the topological classification of linear metric spaces
• Absolute retracts as factors of normed linear spaces
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• On Closed Images of the Space of Irrationals

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