initial topology

/IH0 N IH1 SH AH0 L T AH0 P AO0 L AH0 JH IY0/
noun
  1. 1

    (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.

Translate “initial topology” into another language