# 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 |