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Hopf fibration

fiber bundle of the 3-sphere over the 2-sphere, with 1-spheres as fibers
Thing circle_bundle Q1627604
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Hopf fibration

Summary

Hopf fibration is a circle bundle[1]. It draws 284 Wikipedia views per month (circle_bundle category, ranking #1 of 1).[2]

Key Facts

  • Hopf fibration's image is recorded as Hopf Fibration.png[3].
  • Hopf fibration's instance of is recorded as circle bundle[4].
  • Hopf fibration's instance of is recorded as mathematical concept[5].
  • Heinz Hopf is named after Hopf fibration[6].
  • Hopf fibration's Commons category is recorded as Hopf fibration[7].
  • Hopf fibration's Freebase ID is recorded as /m/02s37d[8].
  • Hopf fibration's MathWorld ID is recorded as HopfMap[9].
  • Hopf fibration's nLab ID is recorded as Hopf fibration[10].
  • Hopf fibration's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Hopf fibration's Microsoft Academic ID is recorded as 55232844[12].
  • Hopf fibration's OpenAlex ID is recorded as C55232844[13].
  • Hopf fibration's Great Russian Encyclopedia portal ID is recorded as rassloenie-khopfa-aef50c[14].

Why It Matters

Hopf fibration draws 284 Wikipedia views per month (circle_bundle category, ranking #1 of 1).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[15] It is known by 12 alternative names across languages and contexts.[16]

References

Programmatic citations — 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] ↑ . Freebase Data Dumps. wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  12. [14] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] ↑ . Wikidata sitelinks. wikidata.org.
  3. [16] ↑ . 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). Hopf fibration. Retrieved May 3, 2026, from https://4ort.xyz/entity/hopf-fibration
MLA “Hopf fibration.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hopf-fibration.
BibTeX @misc{4ortxyz_hopf-fibration_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hopf fibration}}, year = {2026}, url = {https://4ort.xyz/entity/hopf-fibration}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hopf fibration — https://4ort.xyz/entity/hopf-fibration (retrieved 2026-05-03)

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