Husseinov, F.2016-02-082016-02-0820040944-6532http://hdl.handle.net/11693/24342This paper describes a class of convex closed sets, S, in Rn for which the following property holds: for every correspondence defined on a probability space with relative open values in S its integral is a relative open subset of S. It turns out, that the only closed convex sets in R n having this property are generalized polyhedral convex sets. In particular, the only compact convex sets in Rn having this property are polytopes.EnglishCorrespondenceLocally convex setsPolyhedral convex setsArticle