Cone Lattices of Upper Semicontinuous Functions

DOI10.2307/2044401zbMath0489.54009OpenAlexW4252504697MaRDI QIDQ3951226

Gerald A. Beer

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044401

zbMATH Keywords

Hausdorff metricmonotone functionallattice of real valued upper semicontinuous functions UC(X) on a compact metric spaceStone approximation theorem

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Lattices of continuous, differentiable or analytic functions (46E05) Topological lattices (06B30) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

On convergence of closed sets in a metric space and distance functions

Cites Work

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• A natural topology for upper semicontinuous functions and a Baire category dual for convergence in measure
• Upper semicontinuous functions and the Stone approximation theorem
• Convergence of Functions: Equi-Semicontinuity
• Convergence of Sequences of Convex Sets, Cones and Functions. II

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