Word.ws English Dictionary

quotient spaces

quotient spaces is the plural of quotient space.

Meaning of quotient space

Noun

quotient space (plural quotient spaces)

  1. A space obtained from another by identification of points that are equivalent to one another in some equivalence relation.
    • Thus if #92;mathfrak#123;D#125; is an arbitrary decomposition of a space X into mutually disjoint subsets, then the corresponding quotient space is obtained by 'shrinking' or 'identifying' each member of #92;mathfrak#123;D#125; to a single point. For this reason, the quotient spaces are sometimes...1983, K. D. Joshi, Introduction to General Topology, New Age International, page 129

Questions about quotient spaces

What is quotient spaces the plural of?
Quotient spaces is the plural of quotient space.

Words near quotient spaces in the dictionary

  1. quotient ring
  2. quotient rings
  3. quotient set
  4. quotient sets
  5. quotient space
  6. quotient spaces
  7. quotiented
  8. quotienting
  9. quotientive
  10. quotients
  11. quotiety

Source and license

Adapted from Wiktionary: quotient spaces (page history and authors); quotient space (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.

Last updated:

Cite this entry: “quotient spaces.” Word.ws, https://word.ws/quotient_spaces. Based on Wiktionary, CC BY-SA 4.0.