Geodesic
On the $P$-Property of Compact Convex Sets
Matematičeskie zametki, Tome 71 (2002) no. 3, pp. 323-333 Cet article a éte moissonné depuis la source Math-Net.Ru

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Compact convex sets with a special property ($P$-property) in a finite-dimensional space are considered. This property ensures a certain regularity of the boundaries of such sets. A fairly complete description of the class of compact convex sets with the $P$-property is given. It is shown that this class is closed with respect to the basic set operations. The application of the $P$-property is exemplified; in particular, it is shown that any generating set has the $P$-property. 
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     title = {On the $P${-Property} of {Compact} {Convex} {Sets}},
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M. V. Balashov. On the $P$-Property of Compact Convex Sets. Matematičeskie zametki, Tome 71 (2002) no. 3, pp. 323-333. http://geodesic.mathdoc.fr/item/MZM_2002_71_3_a0/

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