Home β€Ί Entities β€Ί partition of a set β€Ί foliation

foliation

equivalence relation on a manifold, the equivalence classes being injectively immersed connected submanifolds, modeled on decomposition of ℝⁿ into π‘₯+ℝᡖ
Class type of: partition of a set, Haefliger structure, lamination Q684220

Facts

5 properties
Instance of
mathematical concept
Subclass of
partition of a set, Haefliger structure, lamination[2][3][4]
Part of
manifold[5]
Facet of
differential topology[6]
Maintained by WikiProject
WikiProject Mathematics[7]
🏷️ Also known as
en foliation de BlΓ€tterung es Foliacion es foliaciΓ³n fa Ψ¨Ψ±Ϊ―β€ŒΨ³Ψ§Ψ²ΫŒ fr feuilletage it foliazione it Teoria delle foliazioni ja 葉局 ja フィユタージγƒ₯ ja 葉局 (ζ•°ε­¦) ja 葉局構造 ko μ—½μΈ΅ nl foliatie pt folheação ru слоСниС uk ΡˆΠ°Ρ€ΡƒΠ²Π°Π½Π½Ρ vi phΓ’n lΓ‘ zh εΆηŠΆη»“ζž„
πŸ”– Identifiers Β· 8
Encyclopedia of Mathematics article ID
Foliation
Encyclopædia Britannica Online ID
topic/foliation-topology
Freebase ID
/m/020g71
MathWorld ID
Foliation
Microsoft Academic ID (discontinued)
197900985
NLab ID
foliation
Stack Exchange tag
mathoverflow.net, math.stackexchange.com
Topic's main category
Category:Foliations

Report an error or request removal Lineage (PROV-JSON)

πŸ”— Connections
Examples 1
Reeb foliation
Facet of 1
differential topology
Maintained by WikiProject 1
WikiProject Mathematics
Part of 1
manifold
Subclass of 1
partition of a set
Topic's main category 1
Category:Foliations
← Category's main topic 1
Category:Foliations
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Summary

foliation is a mathematical concept[1].

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. 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 November 13, 2026, from https://4ort.xyz/entity/foliation-q684220
MLA “foliation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 13 Nov. 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: 2026-11-13}}
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 2026-11-13)

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