point

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

In a vector space, an affine space, or, more generally, an incidence geometry, a point is a zero (http://planetmath.org/Zero) dimensional (http://planetmath.org/Dimension3) .

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 function theory, a point usually means a complex number as an element of the complex plane.

Note that there is also the possibility for a point-free approach to geometry in which points are not assumed as a primitive. Instead, points are defined by suitable abstraction processes. (See point-free geometry.)

Title	point
Canonical name	Point
Date of creation	2013-03-22 16:06:30
Last modified on	2013-03-22 16:06:30
Owner	Wkbj79 (1863)
Last modified by	Wkbj79 (1863)
Numerical id	16
Author	Wkbj79 (1863)
Entry type	Definition
Classification	msc 15-00
Classification	msc 54-00
Classification	msc 51-00