diffeomorphism

isomorphism of smooth manifolds; a smooth bijection with a smooth inverse
Thing general Q1058314
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diffeomorphism

Summary

diffeomorphism ranks in the top 2% of general entities by monthly Wikipedia readership (215 views/month).[1]

Key Facts

  • diffeomorphism's subclass of is recorded as homeomorphism[2].
  • diffeomorphism's subclass of is recorded as local diffeomorphism[3].
  • diffeomorphism's subclass of is recorded as element[4].
  • diffeomorphism's Commons category is recorded as Diffeomorphisms[5].
  • diffeomorphism's Freebase ID is recorded as /m/02cxg[6].
  • diffeomorphism's topic's main category is recorded as Category:Diffeomorphisms[7].
  • diffeomorphism's PSH ID is recorded as 7385[8].
  • diffeomorphism's defining formula is recorded as f \in \mathcal C^\infty(M,N) \land\left(\forall y\in N\exists!x\in M\colon f(x)=y\right) \land f^{-1}\in\mathcal C^\infty(N,M)[9].
  • diffeomorphism's studied by is recorded as differential geometry[10].
  • diffeomorphism's nLab ID is recorded as diffeomorphism[11].
  • diffeomorphism's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • diffeomorphism's Microsoft Academic ID is recorded as 47556283[13].
  • diffeomorphism's ProofWiki ID is recorded as Definition:Diffeomorphism[14].
  • diffeomorphism's OpenAlex ID is recorded as C47556283[15].
  • diffeomorphism's ScienceDirect topic ID is recorded as mathematics/diffeomorphism[16].
  • diffeomorphism's Encyclopedia of China is recorded as 192234[17].
  • diffeomorphism's Lexikon der Mathematik entry ID is recorded as 1840[18].

Why It Matters

diffeomorphism ranks in the top 2% of general entities by monthly Wikipedia readership (215 views/month).[1] diffeomorphism has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[19] diffeomorphism is known by 7 alternative names across languages and contexts.[20]

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] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . Freebase Data Dumps. 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . 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). diffeomorphism. Retrieved April 10, 2026, from https://4ort.xyz/entity/diffeomorphism
MLA “diffeomorphism.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/diffeomorphism.
BibTeX @misc{4ortxyz_diffeomorphism_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{diffeomorphism}}, year = {2026}, url = {https://4ort.xyz/entity/diffeomorphism}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): diffeomorphism — https://4ort.xyz/entity/diffeomorphism (retrieved 2026-04-10)

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