Some new simple proofs of old difficult theorems

zbMath0569.26007MaRDI QIDQ1061255

Andrew M. Bruckner

Publication date: 1984

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

typical continuous functionapproximately differentiable functionnowhere monotonic everywhere differentiable functionSaks theorem

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (6)

Continuous Maps Admitting No Tangent Lines: A Centennial of Besicovitch Functions ⋮ Nowhere-monotone differentiable functions and set of monstrous shift ⋮ Differentiability versus continuity: Restriction and extension theorems and monstrous examples ⋮ Nowhere-monotone differentiable functions and bounded variation ⋮ Doubly paradoxical functions of one variable ⋮ Monsters in Calculus

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