quotient space
quotient space noun: a space obtained from another by identification of points that are equivalent to one another in some equivalence relation.
Noun
quotient space (plural quotient spaces)
- 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
- PROPOSITION 6. Every quotient space of a connected space is connected.1989, unnamed translator, Nicolas Bourbaki, Elements of Mathematics: General Topology: Chapters 1-4, [1971, N. Bourbaki, Éléments de Mathématique: Topologie Générale 1-4, Masson], Springer, page 110
- Synonyms:
- identification space
quotient space meaning in Tamil
quotient space in Tamil
- ஈவுவெளி
Examples of quotient space in a sentence
- For this reason, the quotient spaces are sometimes called identification spaces and quotient maps as^([sic]) identification maps.1983, K. D. Joshi, Introduction to General Topology, New Age International, page 129:
- The quotient space obtained from such a relation is called extended Reeb (ER) quotient space.2004, Silvia Biasotti, Bianca Falcidieno, Michela Spagnuolo, “6: Surface Shape Understanding Based on Extended Reeb Graphs”, in Sanjay...
Synonyms of quotient space
Forms of quotient space
| plural | quotient spaces |
|---|
Questions about quotient space
- What does quotient space mean?
- Quotient space means a space obtained from another by identification of points that are equivalent to one another in some equivalence relation.
- What is quotient space in Tamil?
- Quotient space in Tamil is ஈவுவெளி. See Quotient space meaning in Tamil.
- How do you use quotient space in a sentence?
- For this reason, the quotient spaces are sometimes called identification spaces and quotient maps as^([sic]) identification maps.
- What part of speech is quotient space?
- Quotient space is a noun.
- What is the plural of quotient space?
- The plural of quotient space is quotient spaces.
Words near quotient space in the dictionary
Source and license
Adapted from Wiktionary: quotient space (page history and authors); quotient space (Tamil Wiktionary) (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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Cite this entry: “quotient space.” Word.ws, https://word.ws/quotient_space. Based on Wiktionary, CC BY-SA 4.0.