Continuous applications
Fractal Geometry

Article REF: AF218 V1

Continuous applications
Fractal Geometry

Author : Jean-Charles PINOLI

Publication date: October 10, 2017 | Lire en français

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4. Continuous applications

Definition (continuous mapping). An application between two metric spaces (E, d _E ) and (F, d _F ) f is (simply) continuous (continuous mapping) at a point x in E if (p. 45 of ):

\begin{array}{r} \forall ε > 0, \exists δ > 0, \end{array}

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Bibliography

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and extensions, - North-Holland, 331 pages (1993).
(2) - ALBEVERIO (S.), PRATSIOVYTYL (M.), TORBIN (G.) - Transformations preserving the Hausdorff-Besicovitch dimension, - Central European Journal...

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