initial topology
noun1
Mathematics, Sciences, Topology 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;X#92;toM#95;i, the initial topology is the coarsest topology on X such that all f#95;i are continuous.
- Hyponyms
- product topology
- Coordinate terms
- final topology