Separating sets by lower and upper semicontinuous functions with a closed graph

DOI10.2989/16073606.2015.1124933zbMath1422.54018OpenAlexW2514229011MaRDI QIDQ5236019

Jolanta Kosman

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2015.1124933

zbMATH Keywords

separating setsUrysohn lemmaextensions of functionsfunctions with a closed graphlower semicontiuous functionsupper semicontiuous functions

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) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Extension of maps (54C20) Real-valued functions in general topology (54C30)

Related Items (2)

Separating sets by Darboux Baire 1 and approximately continuous functions ⋮ Separating sets by functions with a closed graph

Cites Work

• Separating sets by upper semicontinuous and Darboux upper semicontinuous functions
• Relations among continuous and various non-continuous functions
• Separating sets by upper semicontinuous quasi-continuous functions
• Affine extensions of functions with a closed graph
• Separating sets by Darboux-like functions
• A note on the functions with closed graphs

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