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general position (Definition)

In projective geometry, a set of points is said to be in general position iff any $d+2$ of them do not lie on a $d$-dimensional plane, i.e., 4 points are in general position iff no three of them are on the same line.

Dually a set of $d$-dimensional planes is said to be in general position iff no $d+2$ of them meet in the same point, i.e., 4 lines are in general position ifff no three of them meet in the same point.



"general position" is owned by jgade.
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Cross-references: meet, line, plane, lie on, iff, points, projective geometry
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This is version 4 of general position, born on 2003-05-10, modified 2004-02-16.
Object id is 4262, canonical name is GeneralPosition.
Accessed 989 times total.

Classification:
AMS MSC: 14A99 (Algebraic geometry :: Foundations :: Miscellaneous)
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