foliation

equivalence relation on a manifold, the equivalence classes being injectively immersed connected submanifolds, modeled on decomposition of ℝⁿ into π‘₯+ℝᡖ
Intangible mathematical_concept Q684220
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foliation

Summary

foliation is a mathematical concept[1]. foliation draws 121 Wikipedia views per month (mathematical_concept category, ranking #157 of 1,007).[2]

Key Facts

  • foliation's instance of is recorded as mathematical concept[3].
  • foliation's subclass of is recorded as partition of a set[4].
  • foliation's subclass of is recorded as Haefliger structure[5].
  • foliation's subclass of is recorded as lamination[6].
  • foliation's part of is recorded as manifold[7].
  • foliation's Commons category is recorded as Foliations[8].
  • foliation's Freebase ID is recorded as /m/020g71[9].
  • foliation's topic's main category is recorded as Category:Foliations[10].
  • foliation's facet of is recorded as differential topology[11].
  • foliation's EncyclopΓ¦dia Britannica Online ID is recorded as topic/foliation-topology[12].
  • foliation's Stack Exchange tag is recorded as https://mathoverflow.net/tags/foliations[13].
  • foliation's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/foliations[14].
  • foliation's MathWorld ID is recorded as Foliation[15].
  • foliation's nLab ID is recorded as foliation[16].
  • foliation's schematic is recorded as Foliation definition.svg[17].
  • foliation's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • foliation's Microsoft Academic ID is recorded as 197900985[19].
  • foliation's Encyclopedia of Mathematics article ID is recorded as Foliation[20].

Why It Matters

foliation draws 121 Wikipedia views per month (mathematical_concept category, ranking #157 of 1,007).[2] foliation has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[21] foliation is known by 5 alternative names across languages and contexts.[22]

References

Programmatic citations β€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . Freebase Data Dumps. wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] ↑ . Wikidata sitelinks. wikidata.org.
  3. [22] ↑ . Wikidata aliases. wikidata.org.

πŸ“‘ 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). foliation. Retrieved May 3, 2026, from https://4ort.xyz/entity/foliation-q684220
MLA “foliation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/foliation-q684220.
BibTeX @misc{4ortxyz_foliation-q684220_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{foliation}}, year = {2026}, url = {https://4ort.xyz/entity/foliation-q684220}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): foliation — https://4ort.xyz/entity/foliation-q684220 (retrieved 2026-05-03)

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