initial topology

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English

Noun

initial topology (plural initial topologies)

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

Hyponyms

product topology

Coordinate terms

final topology

Translations

initial topology

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