A topological characterisation of the implication 'differentiability implies continuity'

DOI10.1080/00207390110038259zbMath1032.26001OpenAlexW2044029098MaRDI QIDQ3150439

Mark A. M. Lynch

Publication date: 17 October 2002

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207390110038259

zbMATH Keywords

continuitydifferentiabilitydifferentiable, nowhere continuous function

Mathematics Subject Classification ID

Continuous maps (54C05) 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) Foundations: limits and generalizations, elementary topology of the line (26A03)

Cites Work

• Unnamed Item
• Convergence in topology

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