final topology

English

Noun

final topology (plural final topologies)

1. (topology) Given a set $X$, a family of topological spaces $(M_{i},T_{i})_{i\in I}$ and a family of functions $f_{i}:M_{i}\to X$, the final topology is the finest topology on $X$ such that all $f_{i}$ are continuous.

Hyponyms

• quotient topology

Coordinate terms

• initial topology

Translations

final topology