The shadow problem for a family of convex sets

• Date: 2015
• Author Affiliations: Ю. Б. Зелинский — Институт математики НАН Украины
• Keywords: keywords
• Main Authors: Zelinskyi, Yu. B., Зелинский, Ю. Б.
• Format: Article
• Language: Russian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/293
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

The problem of shadow for family of convex sets with non empty interior is solved. It is equivalent to condition for point is in generalized convex hull of a family of compact sets.