Separating sets by upper semicontinuous and Darboux upper semicontinuous functions

DOI10.1016/J.TOPOL.2012.11.002zbMath1263.26006OpenAlexW2047251569MaRDI QIDQ1928436

Paulina Szczuka

Publication date: 3 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.11.002

zbMATH Keywords

Darboux functiondensity topologyupper semicontinuous functionseparating setsbilaterally \(\mathfrak c\)-dense set

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)

Related Items (7)

Generalizations of Urysohn's lemma for some subclasses of Darboux functions ⋮ Separating sets by functions and by sets ⋮ Separating sets by Darboux Baire 1 and approximately continuous functions ⋮ Separating sets by Świa̧tkowski functions ⋮ Separating sets by lower and upper semicontinuous functions with a closed graph ⋮ Separating sets in bitopological spaces by 𝒫-LSC and ℒ-USC functions ⋮ Separating sets by cliquish functions

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