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Pontryagin product

product on the homology of an H-space
Intangible mathematical_concept Q7228373
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Summary

Pontryagin product is a mathematical concept[1]. It draws 19 Wikipedia views per month (mathematical_concept category, ranking #255 of 1,007).[2]

Key Facts

  • Pontryagin product's instance of is recorded as mathematical concept[3].
  • Lev Pontryagin is named after Pontryagin product[4].

Body

Definition and Type

Pontryagin product's instance of is recorded as mathematical concept[3].

Origins

Lev Pontryagin is named after Pontryagin product[4].

Why It Matters

Pontryagin product draws 19 Wikipedia views per month (mathematical_concept category, ranking #255 of 1,007).[2]

References

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

Direct Wikidata claims

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

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.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 product. Retrieved October 10, 2026, from https://4ort.xyz/entity/pontryagin-product
MLA “Pontryagin product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Oct. 2026, https://4ort.xyz/entity/pontryagin-product.
BibTeX @misc{4ortxyz_pontryagin-product_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pontryagin product}}, year = {2026}, url = {https://4ort.xyz/entity/pontryagin-product}, note = {Accessed: 2026-10-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pontryagin product — https://4ort.xyz/entity/pontryagin-product (retrieved 2026-10-10)

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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. 12w ago · Charp238 · 2026-07-16 view diff on Wikidata ↗
    Imported from → —
    Defining formula → H_{*}(X;R)\otimes H_{*}(X;R){\xrightarrow[{}]{\times }}H_{*}(X\times X;R){\xrigh
    Named after → Lev Pontryagin
    Wikidata description → product on the homology of an H-space
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ Defining formula: H_{*}(X;R)\otimes H_{*}(X;R){\xrightarrow[{}]{\times }}H_{*}(X\times X;R){\xrightarrow[{}]{\mu _{*}}}H_{*}(X;R)"
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