"homeomorphism" meaning in English

See homeomorphism in All languages combined, or Wiktionary

Noun

Forms: homeomorphisms [plural]
Etymology: 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 entries with incorrect language header, English entries with language name categories using raw markup, English terms prefixed with homeo-, English terms suffixed with -morphism Disambiguation of English entries with incorrect language header: 57 43 Disambiguation of English entries with language name categories using raw markup: 63 37 Disambiguation of English terms prefixed with homeo-: 60 40 Disambiguation of English terms suffixed with -morphism: 69 31 Topics: mathematics, sciences, topology Disambiguation of 'in topology': 70 30
  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 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

Download JSON data for homeomorphism meaning in English (5.9kB)

{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "self-homeomorphism"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "homeo",
        "3": "morphism"
      },
      "expansion": "homeo- + -morphism",
      "name": "confix"
    }
  ],
  "etymology_text": "homeo- + -morphism",
  "forms": [
    {
      "form": "homeomorphisms",
      "tags": [
        "plural"
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    }
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  "head_templates": [
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      "args": {},
      "expansion": "homeomorphism (plural homeomorphisms)",
      "name": "en-noun"
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  "hypernyms": [
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      "_dis1": "0 0",
      "topics": [
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        "mathematics",
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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"
          ],
          "source": "w"
        },
        {
          "_dis": "57 43",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w+disamb"
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          "_dis": "63 37",
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          "_dis": "60 40",
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          "_dis": "69 31",
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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": [
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        [
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          "continuous"
        ],
        [
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          "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": "70 30",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "homeomorfizǎm",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "хомеоморфизъм"
        },
        {
          "_dis1": "70 30",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "tóngpēi",
          "sense": "in topology",
          "word": "同胚"
        },
        {
          "_dis1": "70 30",
          "code": "co",
          "lang": "Corsican",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "omeumurfismu"
        },
        {
          "_dis1": "70 30",
          "code": "cs",
          "lang": "Czech",
          "sense": "in topology",
          "tags": [
            "inanimate",
            "masculine"
          ],
          "word": "homeomorfismus"
        },
        {
          "_dis1": "70 30",
          "code": "da",
          "lang": "Danish",
          "sense": "in topology",
          "tags": [
            "common-gender"
          ],
          "word": "homøomorfi"
        },
        {
          "_dis1": "70 30",
          "code": "da",
          "lang": "Danish",
          "sense": "in topology",
          "tags": [
            "common-gender"
          ],
          "word": "homeomorfi"
        },
        {
          "_dis1": "70 30",
          "code": "nl",
          "lang": "Dutch",
          "sense": "in topology",
          "tags": [
            "neuter"
          ],
          "word": "homeomorfisme"
        },
        {
          "_dis1": "70 30",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "in topology",
          "word": "homeomorfio"
        },
        {
          "_dis1": "70 30",
          "code": "fi",
          "lang": "Finnish",
          "sense": "in topology",
          "word": "homeomorfismi"
        },
        {
          "_dis1": "70 30",
          "code": "de",
          "lang": "German",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "Homöomorphismus"
        },
        {
          "_dis1": "70 30",
          "code": "el",
          "lang": "Greek",
          "roman": "omoiomorfismós",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "ομοιομορφισμός"
        },
        {
          "_dis1": "70 30",
          "code": "is",
          "lang": "Icelandic",
          "sense": "in topology",
          "tags": [
            "feminine"
          ],
          "word": "grannmótun"
        },
        {
          "_dis1": "70 30",
          "code": "ga",
          "lang": "Irish",
          "sense": "in topology",
          "tags": [
            "feminine"
          ],
          "word": "hoiméamorfacht"
        },
        {
          "_dis1": "70 30",
          "code": "ga",
          "lang": "Irish",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "hoiméamorfachas"
        },
        {
          "_dis1": "70 30",
          "code": "it",
          "lang": "Italian",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "omeomorfismo"
        },
        {
          "_dis1": "70 30",
          "code": "ko",
          "lang": "Korean",
          "roman": "wisangdonghyeongsasang",
          "sense": "in topology",
          "word": "위상동형사상"
        },
        {
          "_dis1": "70 30",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "homeomorfismo"
        },
        {
          "_dis1": "70 30",
          "code": "ru",
          "lang": "Russian",
          "roman": "gomeomorfizm",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "гомеоморфизм"
        },
        {
          "_dis1": "70 30",
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "homeomorfizam"
        },
        {
          "_dis1": "70 30",
          "code": "es",
          "lang": "Spanish",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "homeomorfismo"
        },
        {
          "_dis1": "70 30",
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "homeomorfizm",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "гомеоморфізм"
        },
        {
          "_dis1": "70 30",
          "code": "vi",
          "lang": "Vietnamese",
          "sense": "in topology",
          "word": "phép đồng phôi"
        },
        {
          "_dis1": "70 30",
          "code": "cy",
          "lang": "Welsh",
          "sense": "in topology",
          "tags": [
            "masculine"
          ],
          "word": "homeomorffedd"
        }
      ]
    },
    {
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          "langcode": "en",
          "name": "Chemistry",
          "orig": "en:Chemistry",
          "parents": [
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            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "a similarity in the crystal structure of unrelated compounds"
      ],
      "id": "en-homeomorphism-en-noun-rTf4Kg-y",
      "links": [
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          "chemistry"
        ],
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        ],
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        ],
        [
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          "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"
        },
        {
          "_dis1": "0 100",
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "in chemistry",
          "tags": [
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          ],
          "word": "homeomorfizam"
        }
      ]
    }
  ],
  "synonyms": [
    {
      "_dis1": "0 0",
      "tags": [
        "UK"
      ],
      "word": "homoeomorphism"
    },
    {
      "_dis1": "0 0",
      "word": "homœomorphism"
    }
  ],
  "word": "homeomorphism"
}
{
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    "English countable nouns",
    "English entries with incorrect language header",
    "English entries with language name categories using raw markup",
    "English lemmas",
    "English nouns",
    "English terms prefixed with homeo-",
    "English terms suffixed with -morphism"
  ],
  "derived": [
    {
      "word": "self-homeomorphism"
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  "etymology_templates": [
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  "forms": [
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      "word": "equivalence relation"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "diffeomorphism"
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  "senses": [
    {
      "categories": [
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      "glosses": [
        "a continuous bijection from one topological space to another, with continuous inverse."
      ],
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        "(topology) a continuous bijection from one topological space to another, with continuous inverse."
      ],
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    },
    {
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        "a similarity in the crystal structure of unrelated compounds"
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  "synonyms": [
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      "tags": [
        "UK"
      ],
      "word": "homoeomorphism"
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    {
      "word": "homœomorphism"
    }
  ],
  "translations": [
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "homeomorfizǎm",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "хомеоморфизъм"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "tóngpēi",
      "sense": "in topology",
      "word": "同胚"
    },
    {
      "code": "co",
      "lang": "Corsican",
      "sense": "in topology",
      "tags": [
        "masculine"
      ],
      "word": "omeumurfismu"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "in topology",
      "tags": [
        "inanimate",
        "masculine"
      ],
      "word": "homeomorfismus"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "in topology",
      "tags": [
        "common-gender"
      ],
      "word": "homøomorfi"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "in topology",
      "tags": [
        "common-gender"
      ],
      "word": "homeomorfi"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "in topology",
      "tags": [
        "neuter"
      ],
      "word": "homeomorfisme"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "in topology",
      "word": "homeomorfio"
    },
    {
      "code": "fi",
      "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"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.

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