A quasi-locally constant function with given cluster sets

DOI10.1007/S40879-020-00397-XzbMath1437.54015OpenAlexW3003986919MaRDI QIDQ1987687

Denys P. Onypa, Olexandr V. Maslyuchenko

Publication date: 15 April 2020

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-020-00397-x

zbMATH Keywords

quasi-continuous functioncluster setuscolimit oscillation

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Topology of special sets defined by functions (54C50)

Cites Work

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• Cluster sets and approximation properties of quasi-continuous and cliquish functions
• Oscillation and \(\omega\)-primitives
• The cluster sets of continuous functions
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• Construction of functions with given cluster sets
• The ω-problem

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