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Separating sets by functions with a closed graph

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Publication:5236100
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DOI10.2989/16073606.2017.1305462zbMath1430.54026OpenAlexW2607358057MaRDI QIDQ5236100

Jolanta Kosman

Publication date: 15 October 2019

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

Full work available at URL: https://doi.org/10.2989/16073606.2017.1305462


zbMATH Keywords

separating setsUrysohn lemmafunctions with a closed graph


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) Real-valued functions in general topology (54C30)





Cites Work

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




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