Convex Geometry I. Definitions, Properties and Fundamental Theorems : Some classic convexes from ...

Some classic convexes from ...
Convex Geometry I. Definitions, Properties and Fundamental Theorems

Author : Jean-Charles PINOLI

Publication date: November 10, 2020 | Lire en français

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11. Some classic convexes from ...

Above: Some classic convexes of $ℝ_{2}^{n}$

Balls in $ℝ_{2}^{n}$ are the most elementary example of convex (and more compact) bodies (p. 352 of ). In dimension 2, balls are called disks.

The...

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Some classic convexes from ...

(1) - ANDERSON (R.D.), KLEE (V.) - Convex functions and upper-semicontinuous collections, - Duke Mathematical Journal, Vol. 19, pp. 349-357 (1952).
(2) - ASPLUND (E.) - Čebyšev sets in Hilbert space, - Transactions of the American Mathematical Society, Vol. 144, pp....

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