Symmetric Behavior in Functions

DOI10.2307/2160532zbMath0791.26002OpenAlexW4242058986MaRDI QIDQ4275659

Udayan B. Darji

Publication date: 30 June 1994

Full work available at URL: https://doi.org/10.2307/2160532

zbMATH Keywords

smooth functionBaire propertyBaire class onesymmetrically continuous functionsymmetrically differentiable functionset of points of symmetric continuity

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Real-valued functions in general topology (54C30) Classification of real functions; Baire classification of sets and functions (26A21) Topology of special sets defined by functions (54C50)

Related Items (2)

Weakly Symmetrically Continuous Functions ⋮ Sets of points of symmetric continuity

Cites Work

• Unnamed Item
• A historical note on the measurability properties of symmetrically continuous and symmetrically differentiable functions
• Symmetric Functions, Lebesgue Measurability, and the Baire Property
• On the Sum of Two Borel Sets
• A Linear Borel set whose Difference set is not a Borel set
• Independent sets in topological algebras
• Measure and other properties of a Hamel basis

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