Pontryagin duality

duality for locally compact abelian groups
Intangible theorem Q1632419
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Pontryagin duality

Summary

Pontryagin duality is a theorem[1]. It ranks in the top 8% of theorem entities by monthly Wikipedia readership (216 views/month).[2]

Key Facts

  • Pontryagin duality is credited with the discovery of Lev Pontryagin[3].
  • Pontryagin duality's image is recorded as 2-adic integers with dual colorings.svg[4].
  • Pontryagin duality's instance of is recorded as theorem[5].
  • Lev Pontryagin is named after Pontryagin duality[6].
  • Pontryagin duality's Freebase ID is recorded as /m/01__9j[7].
  • Pontryagin duality's defining formula is recorded as \hat G=\hom(G,\operatorname U(1))[8].
  • Pontryagin duality's studied by is recorded as theory of topological groups[9].
  • Pontryagin duality's studied by is recorded as harmonic analysis[10].
  • Pontryagin duality's MathWorld ID is recorded as PontryaginDuality[11].
  • Pontryagin duality's nLab ID is recorded as Pontryagin duality[12].
  • Pontryagin duality's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Pontryagin duality's Microsoft Academic ID is recorded as 1606489[14].
  • Pontryagin duality's in defining formula is recorded as \operatorname U(1)[15].
  • Pontryagin duality's in defining formula is recorded as G[16].

Body

Works and Contributions

Pontryagin duality is credited with the discovery of Lev Pontryagin[3].

Why It Matters

Pontryagin duality ranks in the top 8% of theorem entities by monthly Wikipedia readership (216 views/month).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[17] It is known by 12 alternative names across languages and contexts.[18]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . 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.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). Pontryagin duality. Retrieved May 3, 2026, from https://4ort.xyz/entity/pontryagin-duality
MLA “Pontryagin duality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pontryagin-duality.
BibTeX @misc{4ortxyz_pontryagin-duality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pontryagin duality}}, year = {2026}, url = {https://4ort.xyz/entity/pontryagin-duality}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pontryagin duality — https://4ort.xyz/entity/pontryagin-duality (retrieved 2026-05-03)

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