list of common topologies

The aim of this entry is to give an overview of topologiesMathworldPlanetmath commonly used in mathematics with links to the entries at Planetmath where these are discussed in greater detail.

Topologies on arbitrary sets

The below topologies show that any set can be endowed with a topology.

  1. 1.
  2. 2.
  3. 3.
  4. 4.

    cocountable topology

New topologies from old ones

Topologies on sets with more structure

Topologies for functions spaces and mappings

An extensive list of can be found here (

  1. 1.

    Whitney topology (differential geometry)

  2. 2.
Title list of common topologies
Canonical name ListOfCommonTopologies
Date of creation 2013-03-22 14:38:27
Last modified on 2013-03-22 14:38:27
Owner matte (1858)
Last modified by matte (1858)
Numerical id 5
Author matte (1858)
Entry type Topic
Classification msc 54-00
Classification msc 55-00
Classification msc 22-00