"compactification" meaning in All languages combined

See compactification on Wiktionary

Noun [English]

Forms: compactifications [plural]
Etymology: compact + -ification Etymology templates: {{suffix|en|compact|ification}} compact + -ification Head templates: {{en-noun|~}} compactification (countable and uncountable, plural compactifications)
  1. (topology) Any of various procedures of enlarging a topological space to make it compact. Tags: countable, uncountable Categories (topical): Topology Translations (procedure of enlarging a topological space to make it compact): kompaktifikation [common-gender] (Danish), uzwarcenie [neuter] (Polish) Translations (topological space enlarged to become compact): kompaktifikation [common-gender] (Danish), þjöppun [feminine] (Icelandic), uzwarcenie [neuter] (Polish)
    Sense id: en-compactification-en-noun-cc5qZjJZ Categories (other): English entries with incorrect language header, English terms suffixed with -ification Disambiguation of English entries with incorrect language header: 28 24 29 19 Disambiguation of English terms suffixed with -ification: 30 28 24 18 Topics: mathematics, sciences, topology Disambiguation of 'procedure of enlarging a topological space to make it compact': 70 17 3 11 Disambiguation of 'topological space enlarged to become compact': 70 10 4 15
  2. (topology) The space resulting from any such procedure. Tags: countable, uncountable Categories (topical): Topology
    Sense id: en-compactification-en-noun-EV8to5LY Categories (other): English entries with incorrect language header, English terms suffixed with -ification Disambiguation of English entries with incorrect language header: 28 24 29 19 Disambiguation of English terms suffixed with -ification: 30 28 24 18 Topics: mathematics, sciences, topology
  3. (physics) Any modification of a theory such that an infinite parameter becomes finite. Tags: countable, uncountable Categories (topical): Physics
    Sense id: en-compactification-en-noun-310mnY1z Categories (other): English entries with incorrect language header, English terms suffixed with -ification Disambiguation of English entries with incorrect language header: 28 24 29 19 Disambiguation of English terms suffixed with -ification: 30 28 24 18 Topics: natural-sciences, physical-sciences, physics
  4. (physics) The reduction of the number of large spacetime dimensions of a physical theory by making some of them compact. Tags: countable, uncountable Categories (topical): Physics
    Sense id: en-compactification-en-noun-NgdsrQ2M Categories (other): English entries with incorrect language header, English terms suffixed with -ification Disambiguation of English entries with incorrect language header: 28 24 29 19 Disambiguation of English terms suffixed with -ification: 30 28 24 18 Topics: natural-sciences, physical-sciences, physics
The following are not (yet) sense-disambiguated
Derived forms: beta-compactification, Freund-Rubin compactification, Stone-Čech compactification, Wallman compactification

Inflected forms

Download JSON data for compactification meaning in All languages combined (5.3kB)

{
  "derived": [
    {
      "_dis1": "0 0 0 0",
      "word": "beta-compactification"
    },
    {
      "_dis1": "0 0 0 0",
      "word": "Freund-Rubin compactification"
    },
    {
      "_dis1": "0 0 0 0",
      "word": "Stone-Čech compactification"
    },
    {
      "_dis1": "0 0 0 0",
      "word": "Wallman compactification"
    }
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  "lang_code": "en",
  "pos": "noun",
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        "(topology) Any of various procedures of enlarging a topological space to make it compact."
      ],
      "tags": [
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      ],
      "topics": [
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      "translations": [
        {
          "_dis1": "70 17 3 11",
          "code": "da",
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          "sense": "procedure of enlarging a topological space to make it compact",
          "tags": [
            "common-gender"
          ],
          "word": "kompaktifikation"
        },
        {
          "_dis1": "70 17 3 11",
          "code": "pl",
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          "sense": "procedure of enlarging a topological space to make it compact",
          "tags": [
            "neuter"
          ],
          "word": "uzwarcenie"
        },
        {
          "_dis1": "70 10 4 15",
          "code": "da",
          "lang": "Danish",
          "sense": "topological space enlarged to become compact",
          "tags": [
            "common-gender"
          ],
          "word": "kompaktifikation"
        },
        {
          "_dis1": "70 10 4 15",
          "code": "is",
          "lang": "Icelandic",
          "sense": "topological space enlarged to become compact",
          "tags": [
            "feminine"
          ],
          "word": "þjöppun"
        },
        {
          "_dis1": "70 10 4 15",
          "code": "pl",
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          "sense": "topological space enlarged to become compact",
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          "_dis": "28 24 29 19",
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          "_dis": "30 28 24 18",
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      "glosses": [
        "The space resulting from any such procedure."
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      "id": "en-compactification-en-noun-EV8to5LY",
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      "raw_glosses": [
        "(topology) The space resulting from any such procedure."
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        "(physics) Any modification of a theory such that an infinite parameter becomes finite."
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      "id": "en-compactification-en-noun-NgdsrQ2M",
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        "uncountable"
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        "(topology) The space resulting from any such procedure."
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        "(physics) The reduction of the number of large spacetime dimensions of a physical theory by making some of them compact."
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  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "procedure of enlarging a topological space to make it compact",
      "tags": [
        "common-gender"
      ],
      "word": "kompaktifikation"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "procedure of enlarging a topological space to make it compact",
      "tags": [
        "neuter"
      ],
      "word": "uzwarcenie"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "topological space enlarged to become compact",
      "tags": [
        "common-gender"
      ],
      "word": "kompaktifikation"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "topological space enlarged to become compact",
      "tags": [
        "feminine"
      ],
      "word": "þjöppun"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "topological space enlarged to become compact",
      "tags": [
        "neuter"
      ],
      "word": "uzwarcenie"
    }
  ],
  "word": "compactification"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.