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Hyperspace of max-plus convex compact sets

✍ Scribed by L. E. Bazilevich


Book ID
110149421
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
507 KB
Volume
84
Category
Article
ISSN
0001-4346

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The Minkowski theorem for max-plus conve
✍ StΓ©phane Gaubert; Ricardo D. Katz πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 211 KB

We establish the following max-plus analogue of Minkowski's theorem. Any point of a compact max-plus convex subset of (R βˆͺ {-∞}) n can be written as the max-plus convex combination of at most n + 1 of the extreme points of this subset. We establish related results for closed max-plus cones and close