Insertion of an \(\alpha\)-continuous function

DOI10.1134/S1995080209030068zbMath1223.54019OpenAlexW2095714262MaRDI QIDQ639433

Majid Mirmiran

Publication date: 21 September 2011

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080209030068

zbMATH Keywords

preopen setinsertionsemi-open set\(\alpha \)-open setlower cut setstrong binary relation

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
• Insertion of a function belonging to a certain subclass of \(\mathbb R^ X\).
• Characterization of some peculiar topological spaces via \({\mathcal A}\)- and \({\mathcal B}\)-sets
• Metrizability of certain countable unions
• Completeness and the open mapping theorem
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• Indefinite Cut Sets for Real Functions
• On Real-Valued Functions in Topological Spaces
• Correction to "On real-valued functions in topological spaces"
• A decomposition of continuity

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