Stein manifold

holomorphically convex and holomorphically separable complex manifold
Thing general Q931187
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Stein manifold

Summary

Stein manifold ranks in the top 2% of general entities by monthly Wikipedia readership (55 views/month).[1]

Key Facts

  • Karl Stein is named after Stein manifold[2].
  • Stein manifold's subclass of is recorded as holomorphically separable manifold[3].
  • Stein manifold's Freebase ID is recorded as /m/041zj5[4].
  • Stein manifold's Stack Exchange tag is recorded as https://mathoverflow.net/tags/stein-manifolds[5].
  • Stein manifold's defining formula is recorded as \begin{aligned}\forall K\in\operatorname{Kompakt}(X)\colon&{z\in X\colon|f(z)|\leq \sup _{w\in K}|f(w)|\ \forall f\in \mathcal O(X)}\in\operatorname{Kompakt}(X)\\forall x,y\in X\colon&x\ne y\implies\exists f\in\mathcal O(X)\colon f(x)\ne f(y)\end{aligned}[6].
  • Stein manifold's nLab ID is recorded as Stein manifold[7].
  • Stein manifold's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Stein manifold's Microsoft Academic ID is recorded as 7982256[9].
  • Stein manifold's in defining formula is recorded as X[10].
  • Stein manifold's in defining formula is recorded as \mathcal O[11].
  • Stein manifold's in defining formula is recorded as K[12].
  • Stein manifold's in defining formula is recorded as {z\in X\colon|f(z)|\leq \sup _{w\in K}|f(w)|\ \forall f\in \mathcal O(X)}[13].
  • Stein manifold's Encyclopedia of Mathematics article ID is recorded as Stein_manifold[14].
  • Stein manifold's PlanetMath ID is recorded as SteinManifold[15].
  • Stein manifold's OpenAlex ID is recorded as C7982256[16].
  • Stein manifold's Great Russian Encyclopedia portal ID is recorded as mnogoobrazie-shteina-f9f48c[17].

Why It Matters

Stein manifold ranks in the top 2% of general entities by monthly Wikipedia readership (55 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[18] It is known by 4 alternative names across languages and contexts.[19]

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] . Freebase Data Dumps. 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.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  16. [17] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . 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). Stein manifold. Retrieved April 10, 2026, from https://4ort.xyz/entity/stein-manifold
MLA “Stein manifold.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/stein-manifold.
BibTeX @misc{4ortxyz_stein-manifold_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Stein manifold}}, year = {2026}, url = {https://4ort.xyz/entity/stein-manifold}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Stein manifold — https://4ort.xyz/entity/stein-manifold (retrieved 2026-04-10)

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