Decomposition of topologies which characterize the upper and lower semicontinuous limits of functions

DOI10.1155/2011/857278zbMath1232.54020OpenAlexW2150644250WikidataQ58654492 ScholiaQ58654492MaRDI QIDQ642735

Agata Caserta

Publication date: 27 October 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/857278

zbMATH Keywords

uniformityquasi-uniformitysticking topologycofinally almost below (resp. above)cofinally upper (resp. lower) weakly exhaustivedecomposition of topologystatistical densitystatistically Alexandroff convergencestatistically almost below (resp. above)statistically Arzela convergencestatistically upper (resp. lower) weakly exhaustive

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15) Real-valued functions in general topology (54C30)

Related Items (1)

Abstract theorems on exchange of limits and preservation of (semi)continuity of functions and measures in the filter convergence setting

Cites Work

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• Generalized Asymptotic Density
• On Compactness in Functional Analysis

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