Word.ws English Dictionary

initial topology

initial topology noun: 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.

Noun

initial topology (plural initial topologies)

  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;X#92;toM#95;i, the initial topology is the coarsest topology on X such that all f#95;i are continuous.

Forms of initial topology

pluralinitial topologies

Questions about initial topology

What does initial topology mean?
Initial topology means 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.
What part of speech is initial topology?
Initial topology is a noun.
What is the plural of initial topology?
The plural of initial topology is initial topologies.

Words near initial topology in the dictionary

  1. initial public offerings
  2. initial reject
  3. initial rejects
  4. initial setting time
  5. initial setting times
  6. initial topology
  7. initial value problem
  8. initial value problems
  9. initial-value problem
  10. initial-value problems
  11. initialed

Source and license

Adapted from Wiktionary: initial topology (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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