"sheaf theory" meaning in English

See sheaf theory in All languages combined, or Wiktionary

Noun

Forms: sheaf theories [plural]
Head templates: {{en-noun|~}} sheaf theory (countable and uncountable, plural sheaf theories)
  1. (mathematics, uncountable) That field of modern mathematics that studies sheaves (“abstract constructs in topology”). Tags: uncountable Categories (topical): Mathematics
    Sense id: en-sheaf_theory-en-noun-ELla23J5 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 56 44 Disambiguation of Pages with 1 entry: 75 25 Disambiguation of Pages with entries: 82 18 Topics: mathematics, sciences
  2. (topos theory, cohomology, countable) A cohomology theory that is also a sheaf cohomology on an appropriate site. Tags: countable
    Sense id: en-sheaf_theory-en-noun-YfaOOFAP

Inflected forms

{
  "forms": [
    {
      "form": "sheaf theories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
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      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "56 44",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "75 25",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "82 18",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "That field of modern mathematics that studies sheaves (“abstract constructs in topology”)."
      ],
      "id": "en-sheaf_theory-en-noun-ELla23J5",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "field",
          "field"
        ],
        [
          "sheaves",
          "sheaf#English"
        ],
        [
          "topology",
          "topology"
        ]
      ],
      "raw_glosses": [
        "(mathematics, uncountable) That field of modern mathematics that studies sheaves (“abstract constructs in topology”)."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [],
      "glosses": [
        "A cohomology theory that is also a sheaf cohomology on an appropriate site."
      ],
      "id": "en-sheaf_theory-en-noun-YfaOOFAP",
      "links": [
        [
          "cohomology theory",
          "cohomology theory"
        ],
        [
          "sheaf cohomology",
          "sheaf cohomology"
        ],
        [
          "site",
          "site"
        ]
      ],
      "qualifier": "topos theory",
      "raw_glosses": [
        "(topos theory, cohomology, countable) A cohomology theory that is also a sheaf cohomology on an appropriate site."
      ],
      "tags": [
        "countable"
      ]
    }
  ],
  "word": "sheaf theory"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English uncountable nouns",
    "Pages with 1 entry",
    "Pages with entries"
  ],
  "forms": [
    {
      "form": "sheaf theories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "sheaf theory (countable and uncountable, plural sheaf theories)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English uncountable nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "That field of modern mathematics that studies sheaves (“abstract constructs in topology”)."
      ],
      "links": [
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          "topology",
          "topology"
        ]
      ],
      "raw_glosses": [
        "(mathematics, uncountable) That field of modern mathematics that studies sheaves (“abstract constructs in topology”)."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English countable nouns"
      ],
      "glosses": [
        "A cohomology theory that is also a sheaf cohomology on an appropriate site."
      ],
      "links": [
        [
          "cohomology theory",
          "cohomology theory"
        ],
        [
          "sheaf cohomology",
          "sheaf cohomology"
        ],
        [
          "site",
          "site"
        ]
      ],
      "qualifier": "topos theory",
      "raw_glosses": [
        "(topos theory, cohomology, countable) A cohomology theory that is also a sheaf cohomology on an appropriate site."
      ],
      "tags": [
        "countable"
      ]
    }
  ],
  "word": "sheaf theory"
}

Download raw JSONL data for sheaf theory meaning in English (1.4kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-13 from the enwiktionary dump dated 2025-04-03 using wiktextract (aeaf2a1 and fb63907). 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.

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