The $\sigma$-Compact-Open Topology and its Relatives.

DOI10.7146/math.scand.a-11072zbMath0253.46045OpenAlexW2530018962MaRDI QIDQ5667071

Denny Gulick

Publication date: 1972

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166231

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10)

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Weak and support-open topologies on \(C(X)\), Rings and sheaves, Algebraic objects generated by topological structure, The metrizability and completeness of the \(\sigma \)-compact-open topology on \(C^*(X)\), A Generalization of the Strict Topology, Completeness properties of the pseudocompact-open topology on C(X), Set-open topologies on function spaces, Strict Topologies as Topological Algebras, Strict, weighted, and mixed topologies and applications, The strict topology on a space of vector-valued functions, The dual of \(C_{ps}(X)\), The Mackey Problem for the Compact-Open Topology