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final topology

noun

  1. the finest topology that makes a given collection of functions continuous
L1474836 on Wikidata ↗

Wiktionary

noun

  1. Given a set X, a family of topological spaces (M#95;i,T#95;i)#95;#123;i#92;inI#125; and a family of functions f#95;i#58;M#95;i#92;toX, the final topology is the finest topology on X such that all f#95;i are continuous.