# Difference between revisions of "Quotient topology"

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− | Quotient topology is a concept in the branch of [[mathematics]] known as [[topology]]. Where there is only one map ''f: X -> Y'', this is a [[strong topology]] on ''Y'' and it is defined as the | + | '''Quotient topology''' is a concept in the branch of [[mathematics]] known as [[topology]]. Where there is only one map ''f: X -> Y'', this is a [[strong topology]] on ''Y'' and it is defined as the quotient topology induced on ''Y'' by ''f''. |

[[category:topology]] | [[category:topology]] |

## Revision as of 18:50, 12 November 2007

**Quotient topology** is a concept in the branch of mathematics known as topology. Where there is only one map *f: X -> Y*, this is a strong topology on *Y* and it is defined as the quotient topology induced on *Y* by *f*.