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Descriptive properties of the set of exposed points of compact convex sets in
Authors:Petr Holicky   Mikló  s Laczkovich
Affiliation:Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 95 Prague 8, Czech Republic ; Department of Analysis, Eötvös Loránd University, Budapest, Pázmány Péter sétány 1/c, Hungary -- and -- Department of Mathematics, University College London, Gower Street, London WC1E 6BT, England
Abstract:We construct a compact convex subset of $mathbb R^3$ such that the set of its exposed points is not the intersection of an $F_{sigma}$ set and a $G_{delta}$ set. The existence of such a set answers a question posed by G. Choquet, H.H. Corson and V.L. Klee.

Keywords:Exposed points   convex compact sets
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