Asphericity of shadows of a convex body.
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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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.
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Marek Cúth, Ondřej F. K. Kalenda (2015)
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We collect several variants of the proof of the third case of the Bessaga-Klee relative classification of closed convex bodies in topological vector spaces. We were motivated by the fact that we have not found anywhere in the literature a complete correct proof. In particular, we point out an error in the proof given in the book of C. Bessaga and A. Pełczyński (1975). We further provide a simplified version of T. Dobrowolski's proof of the smooth classification of smooth convex bodies...