Displaying similar documents to “Minkowski sums of Cantor-type sets”

The skeleta of convex bodies

David G. Larman (2009)

Banach Center Publications

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The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.

On the Relations Between 2D and 3D Fractal Dimensions: Theoretical Approach and Clinical Application in Bone Imaging

H. Akkari, I. Bhouri, P. Dubois, M. H. Bedoui (2008)

Mathematical Modelling of Natural Phenomena

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The inner knowledge of volumes from images is an ancient problem. This question becomes complicated when it concerns quantization, as the case of any measurement and in particular the calculation of fractal dimensions. Trabecular bone tissues have, like many natural elements, an architecture which shows a fractal aspect. Many studies have already been developed according to this approach. The question which arises however is to know to which extent it is possible to get an exact determination...

On Convex Sets with Convex-Hereditary CEP

Tadeusz Dobrowolski (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

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CEP stands for the compact extension property. We characterize nonlocally convex complete metric linear spaces with convex-hereditary CEP.