"cap product" meaning in English

See cap product in All languages combined, or Wiktionary

Noun

Forms: cap products [plural]
Etymology: A reference to the symbol used, ∩, in this context called "cap"; compare cup product. Etymology templates: {{m|mul|∩}} ∩, {{m|en|cup product}} cup product Head templates: {{en-noun}} cap product (plural cap products)
  1. (topology) A method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q. Wikipedia link: cap product Categories (topical): Topology
    Sense id: en-cap_product-en-noun-EbB-m2U0 Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for cap product meaning in English (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "mul",
        "2": "∩"
      },
      "expansion": "∩",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "cup product"
      },
      "expansion": "cup product",
      "name": "m"
    }
  ],
  "etymology_text": "A reference to the symbol used, ∩, in this context called \"cap\"; compare cup product.",
  "forms": [
    {
      "form": "cap products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cap product (plural cap 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"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q."
      ],
      "id": "en-cap_product-en-noun-EbB-m2U0",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "adjoin",
          "adjoin"
        ],
        [
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        ],
        [
          "degree",
          "degree"
        ],
        [
          "cochain",
          "cochain"
        ],
        [
          "composite",
          "composite"
        ]
      ],
      "raw_glosses": [
        "(topology) A method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "cap product"
      ]
    }
  ],
  "word": "cap product"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "mul",
        "2": "∩"
      },
      "expansion": "∩",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "cup product"
      },
      "expansion": "cup product",
      "name": "m"
    }
  ],
  "etymology_text": "A reference to the symbol used, ∩, in this context called \"cap\"; compare cup product.",
  "forms": [
    {
      "form": "cap products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cap product (plural cap products)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Topology"
      ],
      "glosses": [
        "A method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "adjoin",
          "adjoin"
        ],
        [
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        ],
        [
          "degree",
          "degree"
        ],
        [
          "cochain",
          "cochain"
        ],
        [
          "composite",
          "composite"
        ]
      ],
      "raw_glosses": [
        "(topology) A method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "cap product"
      ]
    }
  ],
  "word": "cap product"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.