Sequences of semicontinuous functions accompanying continuous functions

DOI10.1016/J.TOPOL.2009.07.017zbMath1184.54018OpenAlexW2126974286MaRDI QIDQ1032910

Haruto Ohta, Masami Sakai

Publication date: 5 November 2009

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

Full work available at URL: http://hdl.handle.net/10297/3939

zbMATH Keywords

lower semicontinuousnormalupper semicontinuouscountably paracompactnon-measurable cardinalcb-space\(\sigma \)-set\(S_1(\Gamma ,\Gamma )\)\(wQN\)point-finite

Mathematics Subject Classification ID

Continuous maps (54C05) Descriptive set theory (03E15) Weak and generalized continuity (54C08) Real-valued functions in general topology (54C30)

Related Items (4)

Selection principle \(\mathrm{S}_{1}\) and combinatorics of open covers ⋮ Real functions, covers and bornologies ⋮ Unnamed Item ⋮ On Ohta-Sakai's properties of a topological space

Cites Work

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• \(\gamma\)-sets and other singular sets of real numbers
• The sequence selection properties of \(C_p(X)\)
• QN-spaces, wQN-spaces and covering properties
• On wQN\(_*\) and wQN\(^*\) spaces
• Some properties of C(X). I
• Spaces not distinguishing pointwise and quasinormal convergence of real functions
• Combinatorics of open covers. I: Ramsey theory
• Two properties of \(C_{p}(x)\) weaker than the Fréchet Urysohn property
• Stone-Čech compactification of a product
• The combinatorics of open covers. II
• Selection principles and upper semicontinuous functions
• Two Classes of Frechet-Urysohn Spaces
• On a Class of Countably Paracompact Spaces

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