STRONG INSERTION OF A CONTINUOUS FUNCTION BETWEEN TWO COMPARABLE PRECONTINUOUS (SEMI-CONTINUOUS) FUNCTIONS

DOI10.1142/S1793557111000514zbMath1243.54036OpenAlexW2141235396MaRDI QIDQ2892241

Majid Mirmiran

Publication date: 18 June 2012

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557111000514

zbMATH Keywords

preopen setsemi-open setlower cut setstrong binary relationstrong insertion

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) 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) Topology of special sets defined by functions (54C50)

Cites Work

• Insertion of a continuous function
• A decomposition of continuity and \(\alpha\)-continuity
• Characterization of some peculiar topological spaces via \({\mathcal A}\)- and \({\mathcal B}\)-sets
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• Indefinite Cut Sets for Real Functions
• A decomposition of continuity

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