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The Peano curve and \(\mathcal I\)-approximate differentiability

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Publication:1194664
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zbMath0762.26005MaRDI QIDQ1194664

Krzysztof Chris Ciesielski, Lee Larson

Publication date: 5 October 1992

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


zbMATH Keywords

deep \({\mathcal I}\)- density continuousfirst coordinate functionnowhere \({\mathcal I}\)-approximately differentiablePeano area-filling curve


Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)


Related Items (3)

Locally recurrent functions, density topologies and algebraic genericity ⋮ Continuous Maps Admitting No Tangent Lines: A Centennial of Besicovitch Functions ⋮ Space filling curves and geodesic laminations






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