PlanetMath: point

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point

(Definition)

In a vector space, an affine space, or, more generally, an incidence geometry, a point is a zero dimensional object.

In a projective geometry, a point is a one-dimensional subspace of the vector space underlying the projective geometry.

In a topology, a point is an element of a topological space.

In The Elements, Euclid defines a point as that which has no part.

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"point" is owned by Wkbj79. [ full author list (2) ]

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Cross-references: topology, subspace, projective geometry, incidence geometry, affine space, vector space
There are 827 references to this entry.

This is version 7 of point, born on 2006-07-24, modified 2006-07-27.
Object id is 8173, canonical name is Point.
Accessed 561 times total.

Classification:

AMS MSC:	51-00 (Geometry :: General reference works )
	54-00 (General topology :: General reference works )
	15-00 (Linear and multilinear algebra; matrix theory :: General reference works )

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