"Pontryagin product" meaning in English

See Pontryagin product in All languages combined, or Wiktionary

Noun

Forms: Pontryagin products [plural]
Etymology: Introduced by Lev Pontryagin (1939). Head templates: {{en-noun}} Pontryagin product (plural Pontryagin products)
  1. (mathematics) A product on the homology of a topological space induced by a product on the topological space. Categories (topical): Mathematics
    Sense id: en-Pontryagin_product-en-noun-UFz0jJ81 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Introduced by Lev Pontryagin (1939).",
  "forms": [
    {
      "form": "Pontryagin products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pontryagin product (plural Pontryagin products)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A product on the homology of a topological space induced by a product on the topological space."
      ],
      "id": "en-Pontryagin_product-en-noun-UFz0jJ81",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "product",
          "product"
        ],
        [
          "homology",
          "homology"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "induce",
          "induce"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A product on the homology of a topological space induced by a product on the topological space."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Pontryagin product"
}
{
  "etymology_text": "Introduced by Lev Pontryagin (1939).",
  "forms": [
    {
      "form": "Pontryagin products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pontryagin product (plural Pontryagin products)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A product on the homology of a topological space induced by a product on the topological space."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "product",
          "product"
        ],
        [
          "homology",
          "homology"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "induce",
          "induce"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A product on the homology of a topological space induced by a product on the topological space."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Pontryagin product"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-26 from the enwiktionary dump dated 2025-04-20 using wiktextract (89e900c and ea19a0a). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.