Linear topological classification of certain function spaces on manifolds and CW complexes

DOI10.1016/0166-8641(95)00110-7zbMath0855.46014OpenAlexW1990701962MaRDI QIDQ1916457

Kazuhiko Morishita, Kazuhiro Kawamura

Publication date: 27 November 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00110-7

zbMATH Keywords

linearly homeomorphicCW complexesNöbeling space\(\ell\)-equivalentcompact topological \(n\)-manifoldpointwise convergent topologyspace of all continuous real-valued functions

Mathematics Subject Classification ID

General topology of complexes (57Q05) Function spaces in general topology (54C35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological manifolds (57N99)

Related Items (3)

Spaces \(u\)-equivalent to the \(n\)-cube ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

• Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence
• Nöbeling spaces and pseudo-interiors of Menger compacta
• Relative topological properties and relative topological spaces
• An extension of Tietze's theorem
• ON LINEAR TOPOLOGICAL CLASSIFICATION OF SPACES OF CONTINUOUS FUNCTIONS IN THE TOPOLOGY OF POINTWISE CONVERGENCE
• The theory ofn-shapes
• Linear Topological Classifications of Certain Function Spaces
• Function Spaces of Completely Metrizable Spaces
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