# Category:Definitions/Category of Open Sets

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This category contains definitions related to Category of Open Sets.

Related results can be found in Category:Category of Open Sets.

The **category of open sets** of a topological space $T = \left({S, \tau}\right)$ is the small category with:

Objects: | open sets of $T$ | |

Morphisms: | inclusion mappings between subsets, none otherwise | |

Composition: | composition of mappings | |

Identity morphisms: | identity mappings |

## Pages in category "Definitions/Category of Open Sets"

The following 3 pages are in this category, out of 3 total.