"topological group" meaning in English

See topological group in All languages combined, or Wiktionary

Noun

Forms: topological groups [plural]
Head templates: {{en-noun}} topological group (plural topological groups)
  1. (topology) A group which is also a topological space and whose group operations are continuous functions. Wikipedia link: topological group Categories (topical): Topology Hyponyms: Lie group Translations (group with topological structure): topologinen ryhmä (Finnish), groupe topologique [masculine] (French), topologische Gruppe [feminine] (German), grupa topologiczna [feminine] (Polish), grupo topológico [masculine] (Portuguese), grup topologic [neuter] (Romanian), grupo topológico [masculine] (Spanish)

Inflected forms

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    {
      "form": "topological groups",
      "tags": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        },
        {
          "kind": "topical",
          "langcode": "en",
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            "Fundamental"
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        }
      ],
      "glosses": [
        "A group which is also a topological space and whose group operations are continuous functions."
      ],
      "hyponyms": [
        {
          "word": "Lie group"
        }
      ],
      "id": "en-topological_group-en-noun-RWqn5MaB",
      "links": [
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          "topology",
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        ],
        [
          "group",
          "group"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(topology) A group which is also a topological space and whose group operations are continuous functions."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "group with topological structure",
          "word": "topologinen ryhmä"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "group with topological structure",
          "tags": [
            "masculine"
          ],
          "word": "groupe topologique"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "group with topological structure",
          "tags": [
            "feminine"
          ],
          "word": "topologische Gruppe"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "group with topological structure",
          "tags": [
            "feminine"
          ],
          "word": "grupa topologiczna"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "group with topological structure",
          "tags": [
            "masculine"
          ],
          "word": "grupo topológico"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "group with topological structure",
          "tags": [
            "neuter"
          ],
          "word": "grup topologic"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "group with topological structure",
          "tags": [
            "masculine"
          ],
          "word": "grupo topológico"
        }
      ],
      "wikipedia": [
        "topological group"
      ]
    }
  ],
  "word": "topological group"
}
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      "word": "Lie group"
    }
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  "lang_code": "en",
  "pos": "noun",
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        "A group which is also a topological space and whose group operations are continuous functions."
      ],
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        ],
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        ],
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        ],
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        "(topology) A group which is also a topological space and whose group operations are continuous functions."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "topological group"
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    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "group with topological structure",
      "word": "topologinen ryhmä"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "group with topological structure",
      "tags": [
        "masculine"
      ],
      "word": "groupe topologique"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "group with topological structure",
      "tags": [
        "feminine"
      ],
      "word": "topologische Gruppe"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "group with topological structure",
      "tags": [
        "feminine"
      ],
      "word": "grupa topologiczna"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "group with topological structure",
      "tags": [
        "masculine"
      ],
      "word": "grupo topológico"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "group with topological structure",
      "tags": [
        "neuter"
      ],
      "word": "grup topologic"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "group with topological structure",
      "tags": [
        "masculine"
      ],
      "word": "grupo topológico"
    }
  ],
  "word": "topological group"
}

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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 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.

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