0410604 20240103182225.920060210235959.9 14 s. cav_un_epca*02557370081-6906382 (2001)177-190Akadémiai Kiadó convex support convex sets in n-dimensions lattice of faces cav_un_auth*0015571 Csiszár I. HU cav_un_auth*0101161 Matúš František UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12A IAA1075801 GA AV ČR cav_un_auth*0012795 AV0Z1075907 We define the convex core of a finite Borel measure Q on R as the intersection of all convex Borel sets C with Q(C)=Q(R ). It consists exactly of means of probability measures dominated by Q. Geometric and measure-theoretic properties of convex cores are studied, including behaviour under certain operations on measures. Convex cores are characterized as those convex sets that have at most countable number of faces. BA MTR http://hdl.handle.net/11104/0130693 UTIA-B 20010073 2001 cav_un_epca*0255737 Studia Scientiarum Mathematicarum Hungarica 0081-6906 1588-2896 Roč. 38 č. 2 2001 177 190 Akadémiai Kiadó