final topology

final topology

English

Noun

final topology (plural final topologies)

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

Hyponyms

• quotient topology

Coordinate terms

• initial topology

Translations

final topology