indiscrete topology

If X is a set and it is endowed with a topologyMathworldPlanetmath defined by


then X is said to have the indiscrete topology.

Furthermore τ is the coarsest topology a set can possess, since τ would be a subset of any other possible topology. This topology gives X many properties:

Title indiscrete topology
Canonical name IndiscreteTopology
Date of creation 2013-03-22 12:48:11
Last modified on 2013-03-22 12:48:11
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 20
Author mathwizard (128)
Entry type Definition
Classification msc 54-00
Synonym trivial topology
Synonym coarse topology