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Open AccessStarshaped sets
This is an expository paper about the fundamental mathematical notion of starshapedness, emphasizing the geometric, analytical, combinatorial, and topological properties of starshaped sets and their broad appl...
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Remarks on Radial Centres of Convex Bodies
The paper concerns a family of selectors for convex bodies in Rn, radial centre maps, defined in the article of M. Moszyńska, Looking for selectors of star bodies, Geom. Dedicata 81 (2000), 131–147. A radial cen...
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On intrinsic invariance of fractal dimensions
We show that intrinsic isometry does not have to preserve a fractal dimension.