General theorems on functional equivalence of topological spaces

DOI10.1016/S0166-8641(97)00215-0zbMath0933.54020MaRDI QIDQ1295206

Mitrofan M. Choban

Publication date: 26 March 2000

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

zbMATH Keywords

linear homeomorphismsupport of measurebounded setlinear mapping\(\mu\)-complete space\(wq\)-space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topology of topological vector spaces (57N17)

Related Items (4)

Functional equivalence of topological spaces ⋮ A non-separable Christensen's theorem and set tri-quotient maps ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

• Completeness properties of function spaces
• Weak topology of an associated space and \(t\)-equivalence
• Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces
• On the l-equivalence of metric spaces
• On monotonic generalizations of Moore spaces, Čech complete spaces and p-spaces
• Function Spaces of Completely Metrizable Spaces
• On the Linear Invariance of Lindelöf Numbers
• MAPPINGS AND SPACES
• Σ-spaces
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