Document Zbl 0860.54011

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Entropy dimensions of the hyperspace of compact sets. (English) Zbl 0860.54011

Real Anal. Exch. 21(1995-96), No. 1, 194-202 (1996).

The main idea of the paper is given best by its abstract: “Let \((X,\rho)\) be a metric space, let \((K(X), \widetilde\rho)\) denote the space of nonempty compact subsets of \(X\) with the Hausdorff metric, and let \(E\subset X\). The purpose of this paper is to investigate the relationships between the entropy dimensions of \(E\) and of \(K(E)\)”.

Reviewer: R.Pawlak (Łódź)

Cited in 1 Review

Cited in 4 Documents

MSC:

54B20	Hyperspaces in general topology
28A78	Hausdorff and packing measures

Keywords:

fractal dimension; entropy dimension

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