"homeomorphism" meaning in English

See homeomorphism in All languages combined, or Wiktionary

Noun

Forms: homeomorphisms [plural]
Etymology: From homeo- + -morphism. Etymology templates: {{confix|en|homeo|morphism}} homeo- + -morphism Head templates: {{en-noun}} homeomorphism (plural homeomorphisms)
  1. (topology) a continuous bijection from one topological space to another, with continuous inverse. Categories (topical): Topology Translations (in topology): хомеоморфизъм (homeomorfizǎm) [masculine] (Bulgarian), 同胚 (tóngpēi) (Chinese Mandarin), omeumurfismu [masculine] (Corsican), homeomorfismus [inanimate, masculine] (Czech), homøomorfi [common-gender] (Danish), homeomorfi [common-gender] (Danish), homeomorfisme [neuter] (Dutch), homeomorfio (Esperanto), homeomorfismi (Finnish), Homöomorphismus [masculine] (German), ομοιομορφισμός (omoiomorfismós) [masculine] (Greek), grannmótun [feminine] (Icelandic), hoiméamorfacht [feminine] (Irish), hoiméamorfachas [masculine] (Irish), omeomorfismo [masculine] (Italian), 위상동형사상 (wisangdonghyeongsasang) (Korean), homeomorfismo [masculine] (Portuguese), гомеоморфизм (gomeomorfizm) [masculine] (Russian), homeomorfizam [masculine] (Serbo-Croatian), homeomorfismo [masculine] (Spanish), гомеоморфізм (homeomorfizm) [masculine] (Ukrainian), phép đồng phôi (Vietnamese), homeomorffedd [masculine] (Welsh)
    Sense id: en-homeomorphism-en-noun-hVoEx6im Categories (other): English terms prefixed with homeo-, English terms suffixed with -morphism Disambiguation of English terms prefixed with homeo-: 54 46 Disambiguation of English terms suffixed with -morphism: 54 46 Topics: mathematics, sciences, topology Disambiguation of 'in topology': 71 29
  2. (chemistry) a similarity in the crystal structure of unrelated compounds Categories (topical): Chemistry Translations (in chemistry): homeomorfismi (Finnish), homeomorfizam [masculine] (Serbo-Croatian)
    Sense id: en-homeomorphism-en-noun-rTf4Kg-y Categories (other): English entries with incorrect language header, English terms prefixed with homeo-, English terms suffixed with -morphism, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Bulgarian translations, Terms with Corsican translations, Terms with Czech translations, Terms with Danish translations, Terms with Dutch translations, Terms with Esperanto translations, Terms with Finnish translations, Terms with German translations, Terms with Greek translations, Terms with Icelandic translations, Terms with Irish translations, Terms with Italian translations, Terms with Korean translations, Terms with Mandarin translations, Terms with Portuguese translations, Terms with Russian translations, Terms with Serbo-Croatian translations, Terms with Spanish translations, Terms with Ukrainian translations, Terms with Vietnamese translations, Terms with Welsh translations Disambiguation of English entries with incorrect language header: 37 63 Disambiguation of English terms prefixed with homeo-: 54 46 Disambiguation of English terms suffixed with -morphism: 54 46 Disambiguation of Entries with translation boxes: 26 74 Disambiguation of Pages with 1 entry: 27 73 Disambiguation of Pages with entries: 15 85 Disambiguation of Terms with Bulgarian translations: 25 75 Disambiguation of Terms with Corsican translations: 25 75 Disambiguation of Terms with Czech translations: 32 68 Disambiguation of Terms with Danish translations: 15 85 Disambiguation of Terms with Dutch translations: 24 76 Disambiguation of Terms with Esperanto translations: 19 81 Disambiguation of Terms with Finnish translations: 25 75 Disambiguation of Terms with German translations: 24 76 Disambiguation of Terms with Greek translations: 33 67 Disambiguation of Terms with Icelandic translations: 25 75 Disambiguation of Terms with Irish translations: 25 75 Disambiguation of Terms with Italian translations: 20 80 Disambiguation of Terms with Korean translations: 25 75 Disambiguation of Terms with Mandarin translations: 30 70 Disambiguation of Terms with Portuguese translations: 25 75 Disambiguation of Terms with Russian translations: 20 80 Disambiguation of Terms with Serbo-Croatian translations: 24 76 Disambiguation of Terms with Spanish translations: 16 84 Disambiguation of Terms with Ukrainian translations: 25 75 Disambiguation of Terms with Vietnamese translations: 25 75 Disambiguation of Terms with Welsh translations: 22 78 Topics: chemistry, natural-sciences, physical-sciences Disambiguation of 'in chemistry': 0 100
The following are not (yet) sense-disambiguated
Synonyms: homoeomorphism [UK], homœomorphism Hypernyms: equivalence relation [topology, mathematics, sciences] Derived forms: self-homeomorphism Related terms: diffeomorphism

Inflected forms

Alternative forms

{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "self-homeomorphism"
    }
  ],
  "etymology_templates": [
    {
      "args": {
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        "2": "homeo",
        "3": "morphism"
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      "expansion": "homeo- + -morphism",
      "name": "confix"
    }
  ],
  "etymology_text": "From homeo- + -morphism.",
  "forms": [
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      "form": "homeomorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homeomorphism (plural homeomorphisms)",
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  "hypernyms": [
    {
      "_dis1": "0 0",
      "topics": [
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        "mathematics",
        "sciences"
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      "word": "equivalence relation"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "_dis1": "0 0",
      "word": "diffeomorphism"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        {
          "_dis": "54 46",
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          "source": "w+disamb"
        }
      ],
      "glosses": [
        "a continuous bijection from one topological space to another, with continuous inverse."
      ],
      "id": "en-homeomorphism-en-noun-hVoEx6im",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "bijection",
          "bijection"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "inverse",
          "inverse"
        ]
      ],
      "raw_glosses": [
        "(topology) a continuous bijection from one topological space to another, with continuous inverse."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "_dis1": "71 29",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "homeomorfizǎm",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "хомеоморфизъм"
        },
        {
          "_dis1": "71 29",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "tóngpēi",
          "sense": "in topology",
          "word": "同胚"
        },
        {
          "_dis1": "71 29",
          "code": "co",
          "lang": "Corsican",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "omeumurfismu"
        },
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          "_dis1": "71 29",
          "code": "cs",
          "lang": "Czech",
          "sense": "in topology",
          "tags": [
            "inanimate",
            "masculine"
          ],
          "word": "homeomorfismus"
        },
        {
          "_dis1": "71 29",
          "code": "da",
          "lang": "Danish",
          "sense": "in topology",
          "tags": [
            "common-gender"
          ],
          "word": "homøomorfi"
        },
        {
          "_dis1": "71 29",
          "code": "da",
          "lang": "Danish",
          "sense": "in topology",
          "tags": [
            "common-gender"
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        },
        {
          "_dis1": "71 29",
          "code": "nl",
          "lang": "Dutch",
          "sense": "in topology",
          "tags": [
            "neuter"
          ],
          "word": "homeomorfisme"
        },
        {
          "_dis1": "71 29",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "in topology",
          "word": "homeomorfio"
        },
        {
          "_dis1": "71 29",
          "code": "fi",
          "lang": "Finnish",
          "sense": "in topology",
          "word": "homeomorfismi"
        },
        {
          "_dis1": "71 29",
          "code": "de",
          "lang": "German",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "Homöomorphismus"
        },
        {
          "_dis1": "71 29",
          "code": "el",
          "lang": "Greek",
          "roman": "omoiomorfismós",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "ομοιομορφισμός"
        },
        {
          "_dis1": "71 29",
          "code": "is",
          "lang": "Icelandic",
          "sense": "in topology",
          "tags": [
            "feminine"
          ],
          "word": "grannmótun"
        },
        {
          "_dis1": "71 29",
          "code": "ga",
          "lang": "Irish",
          "sense": "in topology",
          "tags": [
            "feminine"
          ],
          "word": "hoiméamorfacht"
        },
        {
          "_dis1": "71 29",
          "code": "ga",
          "lang": "Irish",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "hoiméamorfachas"
        },
        {
          "_dis1": "71 29",
          "code": "it",
          "lang": "Italian",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "omeomorfismo"
        },
        {
          "_dis1": "71 29",
          "code": "ko",
          "lang": "Korean",
          "roman": "wisangdonghyeongsasang",
          "sense": "in topology",
          "word": "위상동형사상"
        },
        {
          "_dis1": "71 29",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "homeomorfismo"
        },
        {
          "_dis1": "71 29",
          "code": "ru",
          "lang": "Russian",
          "roman": "gomeomorfizm",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "гомеоморфизм"
        },
        {
          "_dis1": "71 29",
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "homeomorfizam"
        },
        {
          "_dis1": "71 29",
          "code": "es",
          "lang": "Spanish",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "homeomorfismo"
        },
        {
          "_dis1": "71 29",
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "homeomorfizm",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "гомеоморфізм"
        },
        {
          "_dis1": "71 29",
          "code": "vi",
          "lang": "Vietnamese",
          "sense": "in topology",
          "word": "phép đồng phôi"
        },
        {
          "_dis1": "71 29",
          "code": "cy",
          "lang": "Welsh",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "homeomorffedd"
        }
      ]
    },
    {
      "categories": [
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          "langcode": "en",
          "name": "Chemistry",
          "orig": "en:Chemistry",
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      "glosses": [
        "a similarity in the crystal structure of unrelated compounds"
      ],
      "id": "en-homeomorphism-en-noun-rTf4Kg-y",
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        [
          "chemistry",
          "chemistry"
        ],
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          "similarity",
          "similarity"
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        [
          "crystal",
          "crystal"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "unrelated",
          "unrelated"
        ],
        [
          "compound",
          "compound"
        ]
      ],
      "raw_glosses": [
        "(chemistry) a similarity in the crystal structure of unrelated compounds"
      ],
      "topics": [
        "chemistry",
        "natural-sciences",
        "physical-sciences"
      ],
      "translations": [
        {
          "_dis1": "0 100",
          "code": "fi",
          "lang": "Finnish",
          "sense": "in chemistry",
          "word": "homeomorfismi"
        },
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          "_dis1": "0 100",
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          "tags": [
            "masculine"
          ],
          "word": "homeomorfizam"
        }
      ]
    }
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    {
      "_dis1": "0 0",
      "tags": [
        "UK"
      ],
      "word": "homoeomorphism"
    },
    {
      "_dis1": "0 0",
      "word": "homœomorphism"
    }
  ],
  "word": "homeomorphism"
}
{
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      "word": "self-homeomorphism"
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  "lang_code": "en",
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      "code": "bg",
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      "roman": "homeomorfizǎm",
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      "tags": [
        "masculine"
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      "sense": "in topology",
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        "masculine"
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    {
      "code": "da",
      "lang": "Danish",
      "sense": "in topology",
      "tags": [
        "common-gender"
      ],
      "word": "homøomorfi"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "in topology",
      "tags": [
        "common-gender"
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      "word": "homeomorfi"
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      "lang": "Dutch",
      "sense": "in topology",
      "tags": [
        "neuter"
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      "word": "homeomorfisme"
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      "lang": "Esperanto",
      "sense": "in topology",
      "word": "homeomorfio"
    },
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      "lang": "Finnish",
      "sense": "in topology",
      "word": "homeomorfismi"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "Homöomorphismus"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "omoiomorfismós",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "ομοιομορφισμός"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "in topology",
      "tags": [
        "feminine"
      ],
      "word": "grannmótun"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "in topology",
      "tags": [
        "feminine"
      ],
      "word": "hoiméamorfacht"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "hoiméamorfachas"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "omeomorfismo"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "wisangdonghyeongsasang",
      "sense": "in topology",
      "word": "위상동형사상"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "homeomorfismo"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "gomeomorfizm",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "гомеоморфизм"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "homeomorfizam"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "homeomorfismo"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "homeomorfizm",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "гомеоморфізм"
    },
    {
      "code": "vi",
      "lang": "Vietnamese",
      "sense": "in topology",
      "word": "phép đồng phôi"
    },
    {
      "code": "cy",
      "lang": "Welsh",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "homeomorffedd"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "in chemistry",
      "word": "homeomorfismi"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "in chemistry",
      "tags": [
        "masculine"
      ],
      "word": "homeomorfizam"
    }
  ],
  "word": "homeomorphism"
}

Download raw JSONL data for homeomorphism meaning in English (5.4kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.