Word.ws English Dictionary

final topology

final 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;M#95;i#92;toX, the final topology is the finest topology on X such that all f#95;i are continuous.

Noun

final topology (plural final 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;M#95;i#92;toX, the final topology is the finest topology on X such that all f#95;i are continuous.

Forms of final topology

pluralfinal topologies

Questions about final topology

What does final topology mean?
Final 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;M#95;i#92;toX, the final topology is the finest topology on X such that all f#95;i are continuous.
What part of speech is final topology?
Final topology is a noun.
What is the plural of final topology?
The plural of final topology is final topologies.

Words near final topology in the dictionary

  1. final stands
  2. final straw
  3. final stretch
  4. final stretches
  5. Final Testament
  6. final topology
  7. final whistle
  8. final whistles
  9. final word
  10. final words
  11. final year project

Source and license

Adapted from Wiktionary: final 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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