If is a set and it is endowed with a topology defined by
then is said to have the indiscrete topology.
Furthermore is the coarsest topology a set can possess, since would be a subset of any other possible topology. This topology gives many properties:
Every subset of is sequentially compact.
Every function to a space with the indiscrete topology is continuous.
|Date of creation||2013-03-22 12:48:11|
|Last modified on||2013-03-22 12:48:11|
|Last modified by||mathwizard (128)|