"paratopological" meaning in English

See paratopological in All languages combined, or Wiktionary

Adjective

Rhymes: -ɒdʒɪkəl Etymology: para- + topological Etymology templates: {{prefix|en|para|topological}} para- + topological Head templates: {{en-adj|-}} paratopological (not comparable)
  1. (mathematics, of a topological semigroup) That is algebraically a group. Tags: not-comparable Categories (topical): Mathematics Derived forms: paratopological group
    Sense id: en-paratopological-en-adj-kqbw28gm Categories (other): English entries with incorrect language header, English terms prefixed with para- Topics: mathematics, sciences

Download JSON data for paratopological meaning in English (1.5kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "para",
        "3": "topological"
      },
      "expansion": "para- + topological",
      "name": "prefix"
    }
  ],
  "etymology_text": "para- + topological",
  "head_templates": [
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
            "All topics",
            "Fundamental"
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      ],
      "derived": [
        {
          "word": "paratopological group"
        }
      ],
      "examples": [
        {
          "ref": "2015, Fucai Lin, Chuan Liu, “The mapping i_2 on the free paratopological groups”, in arXiv",
          "text": "Nickolas's [On the topology of free paratopological groups.]",
          "type": "quotation"
        }
      ],
      "glosses": [
        "That is algebraically a group."
      ],
      "id": "en-paratopological-en-adj-kqbw28gm",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
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          "group",
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      ],
      "raw_glosses": [
        "(mathematics, of a topological semigroup) That is algebraically a group."
      ],
      "raw_tags": [
        "of a topological semigroup"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "rhymes": "-ɒdʒɪkəl"
    }
  ],
  "word": "paratopological"
}
{
  "derived": [
    {
      "word": "paratopological group"
    }
  ],
  "etymology_templates": [
    {
      "args": {
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  "etymology_text": "para- + topological",
  "head_templates": [
    {
      "args": {
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  "lang_code": "en",
  "pos": "adj",
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        "Rhymes:English/ɒdʒɪkəl",
        "Rhymes:English/ɒdʒɪkəl/7 syllables",
        "en:Mathematics"
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      "examples": [
        {
          "ref": "2015, Fucai Lin, Chuan Liu, “The mapping i_2 on the free paratopological groups”, in arXiv",
          "text": "Nickolas's [On the topology of free paratopological groups.]",
          "type": "quotation"
        }
      ],
      "glosses": [
        "That is algebraically a group."
      ],
      "links": [
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        ],
        [
          "group",
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      "raw_glosses": [
        "(mathematics, of a topological semigroup) That is algebraically a group."
      ],
      "raw_tags": [
        "of a topological semigroup"
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        "not-comparable"
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  "sounds": [
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      "rhymes": "-ɒdʒɪkəl"
    }
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  "word": "paratopological"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-24 from the enwiktionary dump dated 2024-05-02 using wiktextract (46b31b8 and c7ea76d). 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.