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

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

In a projective geometryMathworldPlanetmath, 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 numberMathworldPlanetmathPlanetmath as an element of the complex planeMathworldPlanetmath.

Note that there is also the possibility for a point-free approach to geometryMathworldPlanetmath in which points are not assumed as a primitivePlanetmathPlanetmath. 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