"paracompact" meaning in English

See paracompact in All languages combined, or Wiktionary

Adjective

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)

Download JSONL data for paracompact meaning in English (1.5kB)

{
  "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"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with para-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with French translations",
          "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": [
    {
      "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",
  "related": [
    {
      "word": "paracompactification"
    },
    {
      "word": "paracompactifying"
    },
    {
      "word": "paracompactness"
    }
  ],
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with para-",
        "English uncomparable adjectives",
        "Terms with French translations",
        "en:Mathematics"
      ],
      "glosses": [
        "In which every open cover admits an open locally finite refinement."
      ],
      "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"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "property of a topological space",
      "word": "paracompact"
    }
  ],
  "word": "paracompact"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-27 from the enwiktionary dump dated 2024-06-20 using wiktextract (0f7b3ac and b863ecc). 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.