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extreme point
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(Definition)
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For example the set
![$ [0,1] \in {\mathbb{R}}$](http://images.planetmath.org:8080/cache/objects/5920/l2h/img11.png "$ [0,1] \in {\mathbb{R}}$") is a convex set and 0 and  are the extreme points.
- 1
- H. L. Royden. Real Analysis. Prentice-Hall, Englewood Cliffs, New Jersey, 1988
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"extreme point" is owned by jirka.
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(view preamble)
Cross-references: convex set, implies, line segment, interior point, point, vector space, convex subset
There are 9 references to this entry.
This is version 4 of extreme point, born on 2004-06-15, modified 2006-10-06.
Object id is 5920, canonical name is ExtremePoint.
Accessed 5069 times total.
Classification:
| AMS MSC: | 52A99 (Convex and discrete geometry :: General convexity :: Miscellaneous) |
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Pending Errata and Addenda
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