"Let H be a function space on a compact space K. The set of simpliciality of H is the set of all points of K for which there exists a unique maximal representing measure. Properties of this set were studied by M. Ba\u010D\u00E1k in the paper Point simpliciality in Choquet representation theory, Illinois J. Math. 53 (2009) 289-302, mainly for K metrizable. We study properties of the set of simpliciality for K nonmetrizable."@en . "10.1016/j.bulsci.2011.01.002" . "nonmetrizable compact spaces; Choquet theory; Point simpliciality"@en . "3" . . . . . "Point simpliciality in Choquet theory on nonmetrizable compact spaces" . "1"^^ . . "NL - Nizozemsko" . . . . . "1"^^ . "Point simpliciality in Choquet theory on nonmetrizable compact spaces"@en . "Bulletin des Sciences Mathematiques" . "0007-4497" . "RIV/00216208:11320/11:10105546!RIV12-GA0-11320___" . "000290875700006" . . "P(GA201/07/0388), S" . "Let H be a function space on a compact space K. The set of simpliciality of H is the set of all points of K for which there exists a unique maximal representing measure. Properties of this set were studied by M. Ba\u010D\u00E1k in the paper Point simpliciality in Choquet representation theory, Illinois J. Math. 53 (2009) 289-302, mainly for K metrizable. We study properties of the set of simpliciality for K nonmetrizable." . "Point simpliciality in Choquet theory on nonmetrizable compact spaces" . . . "Point simpliciality in Choquet theory on nonmetrizable compact spaces"@en . "Kraus, Michal" . . . "135" . "12"^^ . . "220966" . "11320" . . "RIV/00216208:11320/11:10105546" . "[EA8C1937B7C3]" . .