"metacompact" meaning in English

See metacompact in All languages combined, or Wiktionary

Adjective

Etymology: meta- + compact Etymology templates: {{prefix|en|meta|compact}} meta- + compact Head templates: {{en-adj|-}} metacompact (not comparable)
  1. (topology) Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover. Wikipedia link: Metacompact space Tags: not-comparable Categories (topical): Topology Derived forms: metacompactness
    Sense id: en-metacompact-en-adj-ueDGl6KC Categories (other): English entries with incorrect language header, English terms prefixed with meta- Topics: mathematics, sciences, topology

Download JSON data for metacompact meaning in English (1.7kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "meta",
        "3": "compact"
      },
      "expansion": "meta- + compact",
      "name": "prefix"
    }
  ],
  "etymology_text": "meta- + compact",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "metacompact (not comparable)",
      "name": "en-adj"
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
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            "Formal sciences",
            "Sciences",
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            "Fundamental"
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          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "metacompactness"
        }
      ],
      "glosses": [
        "Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover."
      ],
      "id": "en-metacompact-en-adj-ueDGl6KC",
      "links": [
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        ],
        [
          "topological space",
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        ],
        [
          "open cover",
          "open cover"
        ]
      ],
      "raw_glosses": [
        "(topology) Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences",
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      ],
      "wikipedia": [
        "Metacompact space"
      ]
    }
  ],
  "word": "metacompact"
}
{
  "derived": [
    {
      "word": "metacompactness"
    }
  ],
  "etymology_templates": [
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  "etymology_text": "meta- + compact",
  "head_templates": [
    {
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      "expansion": "metacompact (not comparable)",
      "name": "en-adj"
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
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        "English entries with incorrect language header",
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      ],
      "glosses": [
        "Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover."
      ],
      "links": [
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        ]
      ],
      "raw_glosses": [
        "(topology) Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover."
      ],
      "tags": [
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        "Metacompact space"
      ]
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  ],
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}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.