"paracompact" meaning in All languages combined

See paracompact on Wiktionary

Adjective [English]

Etymology: para- + compact Etymology templates: {{prefix|en|para|compact}} para- + compact Head templates: {{en-adj|-}} paracompact (not comparable)
  1. (mathematics, of a topological space) In which every open cover admits an open locally finite refinement. Tags: not-comparable Categories (topical): Mathematics Related terms: paracompactification, paracompactifying, paracompactness Translations (property of a topological space): paracompact (French)
    Sense id: en-paracompact-en-adj-KU6Uc7lZ Categories (other): English entries with incorrect language header, English terms prefixed with para- Topics: mathematics, sciences

Adjective [French]

Audio: LL-Q150 (fra)-Lepticed7-paracompact.wav Forms: paracompacte [feminine], paracompacts [masculine, plural], paracompactes [feminine, plural]
Etymology: From para- + compact. Etymology templates: {{af|fr|para-|compact}} para- + compact Head templates: {{fr-adj}} paracompact (feminine paracompacte, masculine plural paracompacts, feminine plural paracompactes)
  1. (topology) paracompact Categories (topical): Topology Derived forms: paracompacité
    Sense id: en-paracompact-fr-adj-YUBI~2~X Categories (other): French entries with incorrect language header, French terms prefixed with para- Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for paracompact meaning in All languages combined (3.2kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "para",
        "3": "compact"
      },
      "expansion": "para- + compact",
      "name": "prefix"
    }
  ],
  "etymology_text": "para- + compact",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "paracompact (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "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": "other",
          "name": "English terms prefixed with para-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "In which every open cover admits an open locally finite refinement."
      ],
      "id": "en-paracompact-en-adj-KU6Uc7lZ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological space",
          "topological space"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a topological space) In which every open cover admits an open locally finite refinement."
      ],
      "raw_tags": [
        "of a topological space"
      ],
      "related": [
        {
          "word": "paracompactification"
        },
        {
          "word": "paracompactifying"
        },
        {
          "word": "paracompactness"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "property of a topological space",
          "word": "paracompact"
        }
      ]
    }
  ],
  "word": "paracompact"
}

{
  "etymology_templates": [
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        "2": "para-",
        "3": "compact"
      },
      "expansion": "para- + compact",
      "name": "af"
    }
  ],
  "etymology_text": "From para- + compact.",
  "forms": [
    {
      "form": "paracompacte",
      "tags": [
        "feminine"
      ]
    },
    {
      "form": "paracompacts",
      "tags": [
        "masculine",
        "plural"
      ]
    },
    {
      "form": "paracompactes",
      "tags": [
        "feminine",
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
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      "name": "fr-adj"
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  ],
  "lang": "French",
  "lang_code": "fr",
  "pos": "adj",
  "senses": [
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      "categories": [
        {
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          "kind": "other",
          "name": "French terms prefixed with para-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "fr",
          "name": "Topology",
          "orig": "fr:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "paracompacité"
        }
      ],
      "glosses": [
        "paracompact"
      ],
      "id": "en-paracompact-fr-adj-YUBI~2~X",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "paracompact",
          "paracompact#English"
        ]
      ],
      "raw_glosses": [
        "(topology) paracompact"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "sounds": [
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      "text": "Audio"
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  "word": "paracompact"
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{
  "etymology_templates": [
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      "args": {
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        "2": "para",
        "3": "compact"
      },
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    }
  ],
  "etymology_text": "para- + compact",
  "head_templates": [
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      },
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  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "paracompactification"
    },
    {
      "word": "paracompactifying"
    },
    {
      "word": "paracompactness"
    }
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      ],
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        "In which every open cover admits an open locally finite refinement."
      ],
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        [
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          "topological space"
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        "(mathematics, of a topological space) In which every open cover admits an open locally finite refinement."
      ],
      "raw_tags": [
        "of a topological space"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "property of a topological space",
      "word": "paracompact"
    }
  ],
  "word": "paracompact"
}

{
  "derived": [
    {
      "word": "paracompacité"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "fr",
        "2": "para-",
        "3": "compact"
      },
      "expansion": "para- + compact",
      "name": "af"
    }
  ],
  "etymology_text": "From para- + compact.",
  "forms": [
    {
      "form": "paracompacte",
      "tags": [
        "feminine"
      ]
    },
    {
      "form": "paracompacts",
      "tags": [
        "masculine",
        "plural"
      ]
    },
    {
      "form": "paracompactes",
      "tags": [
        "feminine",
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  ],
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  ],
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  "lang_code": "fr",
  "pos": "adj",
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        "French entries with incorrect language header",
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        "fr:Topology"
      ],
      "glosses": [
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      ],
      "links": [
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          "topology"
        ],
        [
          "paracompact",
          "paracompact#English"
        ]
      ],
      "raw_glosses": [
        "(topology) paracompact"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "sounds": [
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      "text": "Audio"
    }
  ],
  "word": "paracompact"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-01 from the enwiktionary dump dated 2024-05-02 using wiktextract (384852d and db5a844). 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.