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principal bundle

fiber bundle whose fibers are group torsors (groups with the identity element forgotten)
Intangible mathematical_concept Q1365548
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principal bundle

Summary

principal bundle is a mathematical concept[1]. It draws 201 Wikipedia views per month (mathematical_concept category, ranking #118 of 1,007).[2]

Key Facts

  • principal bundle's image is recorded as Z2 principal bundle over circle.png[3].
  • principal bundle's instance of is recorded as mathematical concept[4].
  • principal bundle's subclass of is recorded as mathematical structure[5].
  • principal bundle's has part is recorded as group action[6].
  • principal bundle's Freebase ID is recorded as /m/01t5jk[7].
  • principal bundle's Stack Exchange tag is recorded as https://mathoverflow.net/tags/principal-bundles[8].
  • principal bundle's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/principal-bundles[9].
  • principal bundle's defining formula is recorded as G = \pi_1(X)/p_{*}(\pi_1(C))[10].
  • principal bundle's MathWorld ID is recorded as PrincipalBundle[11].
  • principal bundle's nLab ID is recorded as principal bundle[12].
  • principal bundle's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • principal bundle's Microsoft Academic ID is recorded as 56907000[14].
  • principal bundle's Encyclopedia of Mathematics article ID is recorded as Principal_fibre_bundle[15].
  • principal bundle's PlanetMath ID is recorded as PrincipalBundle[16].
  • principal bundle's OpenAlex ID is recorded as C56907000[17].
  • principal bundle's ScienceDirect topic ID is recorded as mathematics/principal-fibre-bundle[18].
  • principal bundle's underlying structure is recorded as fiber bundle[19].
  • principal bundle's underlying structure is recorded as G-space[20].

Why It Matters

principal bundle draws 201 Wikipedia views per month (mathematical_concept category, ranking #118 of 1,007).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[21] It is known by 8 alternative names across languages and contexts.[22]

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] ↑ . Freebase Data Dumps. wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . 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] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: 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.

📑 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). principal bundle. Retrieved May 3, 2026, from https://4ort.xyz/entity/principal-bundle
MLA “principal bundle.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/principal-bundle.
BibTeX @misc{4ortxyz_principal-bundle_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{principal bundle}}, year = {2026}, url = {https://4ort.xyz/entity/principal-bundle}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): principal bundle — https://4ort.xyz/entity/principal-bundle (retrieved 2026-05-03)

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