Constructing Continuous Functions

DOI10.1080/07468342.2022.1995302zbMath1505.97041OpenAlexW3213070642MaRDI QIDQ5862595

Judit Kardos

Publication date: 9 March 2022

Published in: The College Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07468342.2022.1995302

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Singular functions, Cantor functions, functions with other special properties (26A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) One-variable calculus (26A06) Differential calculus (educational aspects) (97I40) Mappings and functions (educational aspects) (97I20)

Cites Work

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• Characterizing the coordinate functions of space filling curves
• Continuous functions need not have \(\sigma\)-porous graphs
• Differentiation of real functions
• The Cantor function
• A Continuous Function That Is Differentiable Only at the Rationals
• A Continous, Nowhere Differentiable Function
• Mapping the Cantor Set onto [0, 1]
• A continuous, nowhere monotone function

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