"compact space" meaning in All languages combined

See compact space on Wiktionary

Noun [English]

Forms: compact spaces [plural]
Head templates: {{en-noun}} compact space (plural compact spaces)
  1. (mathematics) Any topological subset of Euclidean space that is a compact set Wikipedia link: compact space Categories (topical): Mathematics Translations (mathematics): espai compacte [masculine] (Catalan), kompakt tér (Hungarian), コンパクト空間 (Japanese), kompakt rum [neuter] (Swedish)
    Sense id: en-compact_space-en-noun-xSFFI82N Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for compact space meaning in All languages combined (1.5kB)

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      "expansion": "compact space (plural compact spaces)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
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      "glosses": [
        "Any topological subset of Euclidean space that is a compact set"
      ],
      "id": "en-compact_space-en-noun-xSFFI82N",
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        [
          "Euclidean space",
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      "raw_glosses": [
        "(mathematics) Any topological subset of Euclidean space that is a compact set"
      ],
      "topics": [
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      "translations": [
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "mathematics",
          "tags": [
            "masculine"
          ],
          "word": "espai compacte"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "mathematics",
          "word": "kompakt tér"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "mathematics",
          "word": "コンパクト空間"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "mathematics",
          "tags": [
            "neuter"
          ],
          "word": "kompakt rum"
        }
      ],
      "wikipedia": [
        "compact space"
      ]
    }
  ],
  "word": "compact space"
}
{
  "forms": [
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        "Any topological subset of Euclidean space that is a compact set"
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        "(mathematics) Any topological subset of Euclidean space that is a compact set"
      ],
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      "wikipedia": [
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  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "mathematics",
      "tags": [
        "masculine"
      ],
      "word": "espai compacte"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "mathematics",
      "word": "kompakt tér"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "mathematics",
      "word": "コンパクト空間"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "mathematics",
      "tags": [
        "neuter"
      ],
      "word": "kompakt rum"
    }
  ],
  "word": "compact space"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-15 from the enwiktionary dump dated 2024-05-02 using wiktextract (8203a16 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.