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Search: MSC category 55Mxx ( Classical topics {For the topology of Euclidean spaces and manifolds, see 57Nxx} )

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1. CMB 2004 (vol 47 pp. 246)

Makai, Endre; Martini, Horst
On Maximal $k$-Sections and Related Common Transversals of Convex Bodies
Generalizing results from [MM1] referring to the intersection body $IK$ and the cross-section body $CK$ of a convex body $K \subset \sR^d, \, d \ge 2$, we prove theorems about maximal $k$-sections of convex bodies, $k \in \{1, \dots, d-1\}$, and, simultaneously, statements about common maximal $(d-1)$- and $1$-transversals of families of convex bodies.

Categories:52A20, 55Mxx

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