Semicontinuous limits of nets of continuous functions

DOI10.1007/S10107-013-0660-1zbMath1285.26003OpenAlexW2033448973MaRDI QIDQ353143

Gerald A. Beer

Publication date: 12 July 2013

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-013-0660-1

zbMATH Keywords

pointwise convergencesemicontinuous functionBartle propertysticking topologystrong pointwise convergence

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Real-valued functions in general topology (54C30)

Related Items (3)

Ascoli-type theorems in the cone metric space setting ⋮ Decomposition of topologies which characterize the upper and lower semicontinuous limits of functions ⋮ Abstract theorems on exchange of limits and preservation of (semi)continuity of functions and measures in the filter convergence setting

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• Variational Analysis
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• Une Structure Uniforme sur un Espace F(E,F)
• On Compactness in Functional Analysis

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