Nearly all convex bodies are smooth and strictly convex
By an old result of \textit{V. Klee} [Math. Ann. 139, 51-63 (1959; Zbl 0092.116)], those convex bodies which are not smooth or not strictly convex form a set of first Baire category. It is proved here that they are ''even fewer'': they only form a \(\sigma\)-porous set.
scientific article; zbMATH DE number 3981966