A generalization of carathéodory's theor
✍
Imre Bárány
📂
Article
📅
1982
🏛
Elsevier Science
🌐
English
⚖ 812 KB
The following theorem is lproved. If the sets VI, . . . , Vn+, CR" and a E fly:: conv Vi, then there exist elements ui E Vi (i = 1, . . . , n + 1) such that a E conv{o,, . . . , un+J. Thii is a generalization of Carathtidory's theorem. By applying this and similar results some open questions are ans