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Article | REF: AF120 V1

Metric Spaces I. Basic Notions

Author: Jean-Charles PINOLI

Publication date: July 10, 2018

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4. Applications between metric spaces

4.1 Definition

ε−δ continuity

Definition ε−δ of continuity (continuous application (Bolzano, 1817, Cauchy, 1821, Fréchet, 1910)). An applicationf between two metric spaces (E,d E ) and (F,d F ) is (simply) continuous (continuous mapping) at a point x of E if (p. 178 of

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