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Pontryagin class

characteristic class defined for real vector bundles
Intangible mathematical_concept Q40007
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Pontryagin class

Summary

Pontryagin class is a mathematical concept[1]. It draws 203 Wikipedia views per month (mathematical_concept category, ranking #231 of 1,007).[2]

Key Facts

  • Pontryagin class is credited with the discovery of Lev Pontryagin[3].
  • Pontryagin class's instance of is recorded as mathematical concept[4].
  • Lev Pontryagin is named after Pontryagin class[5].
  • Pontryagin class is a type of characteristic class[6].
  • Pontryagin class's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Pontryagin class's instance of is recorded as mathematical concept[4]. It is a type of characteristic class[6].

Origins

Lev Pontryagin is named after Pontryagin class[5].

Why It Matters

Pontryagin class draws 203 Wikipedia views per month (mathematical_concept category, ranking #231 of 1,007).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[8]

Related Entities

Lev Pontryagin Sergei Novikov

References

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

Direct Wikidata claims

  1. [4] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . Wikidata sitelinks. 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 class. Retrieved May 3, 2026, from https://4ort.xyz/entity/pontryagin-class
MLA “Pontryagin class.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pontryagin-class.
BibTeX @misc{4ortxyz_pontryagin-class_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pontryagin class}}, year = {2026}, url = {https://4ort.xyz/entity/pontryagin-class}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pontryagin class — https://4ort.xyz/entity/pontryagin-class (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4d ago · Charp238 · 2026-07-16 view diff on Wikidata ↗
    Instance of → —
    Subclass of → —
    Maintained by wikiproject → WikiProject Mathematics
    Defining formula → p_k(E)=(-1)^kc_{2k}(E\otimes\mathbb C)\in\operatorname H^{4k}(M)
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P2534]]: p_k(E)=(-1)^kc_{2k}(E\otimes\mathbb C)\in\operatorname H^{4k}(M)"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.