A historical note on the measurability properties of symmetrically continuous and symmetrically differentiable functions

History of mathematics in the 20th century (01A60) 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) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) History of real functions (26-03)