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Typical simplicially convex bodies
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Tudor Zamfirescu
Published/Copyright:
January 17, 2014
Abstract
In this note we describe some geometrical properties that simplicially convex bodies typically enjoy. It is shown, for example, that they are nowhere dense and of measure zero. Moreover, they look at least half-dense from any of their points.
Published Online: 2014-01-17
Published in Print: 2014-01
© 2014 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Real hypersurfaces of complex and quaternionic hyperbolic spaces
- Toric geometry of the 3-Kimura model for any tree
- Invariant surfaces in Sol3 with constant mean curvature and their computer graphics
- A short geometric proof that Hausdorff limits are definable in any o-minimal structure
- Seshadri constants on smooth threefolds
- Visible shoreline results for staircase paths in ℝd
- Characterization of isometric embeddings of Grassmann graphs
- Typical simplicially convex bodies
- On successive radii of p-sums of convex bodies
- Resolving sets for four families of distance-regular graphs
- White-black graphs and right-angled hyperbolic handlebodies
- Scalar and Ricci curvatures of special contact slant submanifolds in Sasakian space forms
- Non-factorial quartic double solids
- Collineation groups of topological parallelisms
