The order topology for function lattices and realcompactness

DOI10.1155/S0161171281000173zbMath0465.46011OpenAlexW1971355485MaRDI QIDQ1154630

James F. Porter, William A. Feldman

Publication date: 1981

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/44920

zbMATH Keywords

compact-open topologyLindelöf spaceorder topologylattices of continuous functionsrealcompactnessconvergence structuresuniversally complete function lattice

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Realcompactness and realcompactification (54D60) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Lattices of continuous, differentiable or analytic functions (46E05)

Related Items (10)

On characterizing Riesz spaces \(C(X)\) without Yosida representation ⋮ Zero-separating algebras of continuous functions ⋮ Unnamed Item ⋮ Order topologies on \(l\)-algebras. ⋮ \(C(X)\) as a lattice: a generalized problem of Birkhoff and Kaplansky ⋮ Riesz product spaces and representation theory ⋮ \(C(X)\) as a real \(\ell \)-group ⋮ Riesz spaces of real continuous functions ⋮ Closed ideals in topological algebras: A characterization of the topological Φ-algebra C k (x) ⋮ 2-universally complete Riesz spaces and inverse-closed Riesz spaces

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