quotient set

set formed by the equivalence classes on a set under a given equivalence relation
Thing general Q3966112
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quotient set

Summary

quotient set ranks in the top 2% of general entities by monthly Wikipedia readership (26 views/month).[1]

Key Facts

  • quotient set's subclass of is recorded as set[2].
  • quotient set's has part is recorded as equivalence class[3].
  • quotient set's defining formula is recorded as M/{\sim} = {[a]_{\sim} \mid a \in M}[4].
  • quotient set's Google Knowledge Graph ID is recorded as /g/121jc41r[5].
  • quotient set's Google Knowledge Graph ID is recorded as /g/11ddwwsq92[6].
  • quotient set's MathWorld ID is recorded as QuotientSet[7].
  • quotient set's nLab ID is recorded as quotient set[8].
  • quotient set's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • quotient set's ProofWiki ID is recorded as Definition:Quotient_Set[10].
  • quotient set's Treccani's Enciclopedia della Matematica ID is recorded as insieme-quoziente[11].
  • quotient set's Metamath statement ID is recorded as df-qs[12].

Why It Matters

quotient set ranks in the top 2% of general entities by monthly Wikipedia readership (26 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[13] It is known by 4 alternative names across languages and contexts.[14]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . Insiemi, numeri e polinomi. wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). quotient set. Retrieved April 10, 2026, from https://4ort.xyz/entity/quotient-set
MLA “quotient set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/quotient-set.
BibTeX @misc{4ortxyz_quotient-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{quotient set}}, year = {2026}, url = {https://4ort.xyz/entity/quotient-set}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): quotient set — https://4ort.xyz/entity/quotient-set (retrieved 2026-04-10)

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