Definitions from Wiktionary (initial topology)
▸ noun: (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.
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▸ noun: (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.
Similar:
final topology,
topological space,
topology,
product topology,
standard topology,
open set,
discrete topology,
underlying set,
path,
topological group,
more...
Opposite:
▸ Words similar to initial topology
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▸ Wikipedia articles (New!)
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▸ Invented words related to initial topology