"pretopology" meaning in English

See pretopology in All languages combined, or Wiktionary

Noun

Forms: pretopologies [plural]
Head templates: {{en-noun|~}} pretopology (countable and uncountable, plural pretopologies)
  1. (mathematics) The field of study of pretopological spaces (in plural for different prespaces). Tags: countable, uncountable Categories (topical): Mathematics Translations (field of study of generalized topological space(s)): προτοπολογία (protopología) [feminine] (Greek)
    Sense id: en-pretopology-en-noun-WKnaPUd7 Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 70 30 Topics: mathematics, sciences Disambiguation of 'field of study of generalized topological space(s)': 79 21
  2. (mathematics) A filter subset or a preclosure operator which acts as a distinct prespace (pre-topological space). Tags: countable, uncountable Categories (topical): Mathematics
    Sense id: en-pretopology-en-noun-S~5fIH1K Topics: mathematics, sciences

Download JSON data for pretopology meaning in English (1.8kB)

{
  "forms": [
    {
      "form": "pretopologies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "pretopology (countable and uncountable, plural pretopologies)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
        {
          "_dis": "70 30",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The field of study of pretopological spaces (in plural for different prespaces)."
      ],
      "id": "en-pretopology-en-noun-WKnaPUd7",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The field of study of pretopological spaces (in plural for different prespaces)."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "79 21",
          "code": "el",
          "lang": "Greek",
          "roman": "protopología",
          "sense": "field of study of generalized topological space(s)",
          "tags": [
            "feminine"
          ],
          "word": "προτοπολογία"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A filter subset or a preclosure operator which acts as a distinct prespace (pre-topological space)."
      ],
      "id": "en-pretopology-en-noun-S~5fIH1K",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "pre-",
          "pre-"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A filter subset or a preclosure operator which acts as a distinct prespace (pre-topological space)."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "pretopology"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English uncountable nouns"
  ],
  "forms": [
    {
      "form": "pretopologies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
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      "expansion": "pretopology (countable and uncountable, plural pretopologies)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "The field of study of pretopological spaces (in plural for different prespaces)."
      ],
      "links": [
        [
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          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The field of study of pretopological spaces (in plural for different prespaces)."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A filter subset or a preclosure operator which acts as a distinct prespace (pre-topological space)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "pre-",
          "pre-"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A filter subset or a preclosure operator which acts as a distinct prespace (pre-topological space)."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "el",
      "lang": "Greek",
      "roman": "protopología",
      "sense": "field of study of generalized topological space(s)",
      "tags": [
        "feminine"
      ],
      "word": "προτοπολογία"
    }
  ],
  "word": "pretopology"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.