Compact hyperspace
Fractal Geometry

Article REF: AF218 V1

Compact hyperspace
Fractal Geometry

Author : Jean-Charles PINOLI

Publication date: October 10, 2017 | Lire en français

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5. Compact hyperspace

5.1 Distance between Pompeiu and Hausdorff

Definition (distance from Pompeiu (1905) and Hausdorff (1914)). Given a metric space (E, d) the application d _PH from $E \times E$ into $ℝ^{+}$ defined on the class $K (E, d)$ ...

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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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