initial topology
initial topology · initial topologies
Given a set X, a family of topological spaces#95;#123;i#92;inI#125Given 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.
Meaning
1 sensesGiven 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.
Forms
plural: initial topologies| Singular | initial topology |
|---|---|
| Plural | initial topologies |
regular