equivalence class

mathematical concept
Thing general Q1211071
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equivalence class

Summary

equivalence class ranks in the top 2% of general entities by monthly Wikipedia readership (184 views/month).[1]

Key Facts

  • equivalence class's Library of Congress authority ID is recorded as sh85044561[2].
  • equivalence class's subclass of is recorded as set[3].
  • equivalence class's part of is recorded as quotient set[4].
  • equivalence class's Freebase ID is recorded as /m/02jjc[5].
  • equivalence class's topic's main category is recorded as Category:Equivalence classes[6].
  • equivalence class's Encyclopædia Britannica Online ID is recorded as topic/equivalence-class[7].
  • equivalence class's main Wikidata property is recorded as P1709[8].
  • equivalence class's defining formula is recorded as { x \in S \mid x \sim a }[9].
  • equivalence class's MathWorld ID is recorded as EquivalenceClass[10].
  • equivalence class's nLab ID is recorded as equivalence class[11].
  • equivalence class's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • equivalence class's Microsoft Academic ID is recorded as 192390876[13].
  • equivalence class's Online PWN Encyclopedia ID is recorded as 3865299[14].
  • equivalence class's National Library of Israel J9U ID is recorded as 987007553014905171[15].
  • equivalence class's WordNet 3.1 Synset ID is recorded as 05071206-n[16].
  • equivalence class's WordNet 3.1 Synset ID is recorded as 00028005-n[17].
  • equivalence class's WordNet 3.1 Synset ID is recorded as 05949928-n[18].
  • equivalence class's WordNet 3.1 Synset ID is recorded as 04684871-n[19].
  • equivalence class's Metamath statement ID is recorded as df-ec[20].
  • equivalence class's Yale LUX ID is recorded as concept/7a200aae-a0c2-4683-a944-c1b67dc9100f[21].

Why It Matters

equivalence class ranks in the top 2% of general entities by monthly Wikipedia readership (184 views/month).[1] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[22] It is known by 6 alternative names across languages and contexts.[23]

References

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

Direct Wikidata claims

  1. [2] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . Freebase Data Dumps. 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.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . National Library of Israel Names and Subjects Authority File. wikidata.org.
  15. [16] . GF WordNet. wikidata.org.
  16. [17] . GF WordNet. wikidata.org.
  17. [18] . GF WordNet. wikidata.org.
  18. [19] . GF WordNet. wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] . Wikidata sitelinks. wikidata.org.
  3. [23] . 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). equivalence class. Retrieved April 10, 2026, from https://4ort.xyz/entity/equivalence-class
MLA “equivalence class.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/equivalence-class.
BibTeX @misc{4ortxyz_equivalence-class_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{equivalence class}}, year = {2026}, url = {https://4ort.xyz/entity/equivalence-class}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): equivalence class — https://4ort.xyz/entity/equivalence-class (retrieved 2026-04-10)

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