Separating sets by functions and by sets

DOI10.1016/J.TOPOL.2020.107404zbMath1456.26004OpenAlexW3092486349MaRDI QIDQ2216600

Paulina Szyszkowska

Publication date: 16 December 2020

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107404

zbMATH Keywords

Darboux functionsquasi-continuous functionsseparating setsBaire 1 functionsupper semicontinuous functionsUrysohn's lemma

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Real-valued functions in general topology (54C30) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

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• Generalizations of Urysohn's lemma for some subclasses of Darboux functions
• Quasi-continuity
• Separating sets by upper semicontinuous and Darboux upper semicontinuous functions
• Separating sets by cliquish functions
• Separating sets by peripherally continuous functions
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• Differentiation of Real Functions
• Separating sets by Darboux Baire 1 and approximately continuous functions
• Separating sets by Darboux-like functions
• Separating sets by bilaterally quasi-continuous functions

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