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
✦ LIBER ✦
An integer analogue of Carathéodory's theorem
✍ Scribed by W Cook; J Fonlupt; A Schrijver
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 613 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A generalization of carathéodory's theor
✍
Imre Bárány
📂
Article
📅
1982
🏛
Elsevier Science
🌐
English
⚖ 812 KB
Carathéodory's Theorem and H-Convexity
✍
V. Boltyanski; H. Martini
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 165 KB
In 1976, V. Boltyanski introduced the functional md for compact, convex bodies. With the help of this functional, some theorems of combinatorial geometry were derived. For example, the first author obtained a Helly-type theorem, later some particular cases of the Szo kefalvi Nagy problem were resolv
A generalization of Carathéodory's exist
✍
Jan Persson
📂
Article
📅
1975
🏛
Elsevier Science
🌐
English
⚖ 369 KB
On the deduction of Carathéodory's axiom
✍
U.M. Titulaer; N.G. Van Kampen
📂
Article
📅
1965
🏛
Elsevier Science
⚖ 253 KB
An affine analogue of Wilbrink's theorem
✍
Alexander Pott
📂
Article
📅
1990
🏛
Elsevier Science
🌐
English
⚖ 140 KB
Inequalities for solutions of singular i
✍
Josef Diblík; Miroslava Růžičková
📂
Article
📅
2008
🏛
Elsevier Science
🌐
English
⚖ 738 KB