"deformation retract" meaning in English

See deformation retract in All languages combined, or Wiktionary

Noun

Forms: deformation retracts [plural]
Head templates: {{en-noun}} deformation retract (plural deformation retracts)
  1. (topology) A subspace such that there is a retraction onto it of the ambient space homotopic to the identity function on the ambient space. Categories (topical): Topology
    Sense id: en-deformation_retract-en-noun-sA76gRPa Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 70 30 Topics: mathematics, sciences, topology

Verb

Forms: deformation retracts [present, singular, third-person], deformation retracting [participle, present], deformation retracted [participle, past], deformation retracted [past]
Head templates: {{en-verb}} deformation retract (third-person singular simple present deformation retracts, present participle deformation retracting, simple past and past participle deformation retracted)
  1. To have a deformation retract as a subspace. Synonyms: deformation-retract [verb]
    Sense id: en-deformation_retract-en-verb-DJf3XywW

Inflected forms

Download JSON data for deformation retract meaning in English (2.1kB)

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  "forms": [
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
          "kind": "topical",
          "langcode": "en",
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          "orig": "en:Topology",
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      ],
      "glosses": [
        "A subspace such that there is a retraction onto it of the ambient space homotopic to the identity function on the ambient space."
      ],
      "id": "en-deformation_retract-en-noun-sA76gRPa",
      "links": [
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        [
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        [
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        ],
        [
          "onto",
          "onto"
        ],
        [
          "ambient",
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        ],
        [
          "space",
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        ],
        [
          "homotopic",
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        ],
        [
          "identity",
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        ],
        [
          "function",
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        ]
      ],
      "raw_glosses": [
        "(topology) A subspace such that there is a retraction onto it of the ambient space homotopic to the identity function on the ambient space."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "deformation retract"
}

{
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    {
      "form": "deformation retracts",
      "tags": [
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      ]
    },
    {
      "form": "deformation retracting",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "deformation retracted",
      "tags": [
        "participle",
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    },
    {
      "form": "deformation retracted",
      "tags": [
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  "head_templates": [
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    }
  ],
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  "lang_code": "en",
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  "senses": [
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      "glosses": [
        "To have a deformation retract as a subspace."
      ],
      "id": "en-deformation_retract-en-verb-DJf3XywW",
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          "_dis1": "16 84",
          "tags": [
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{
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  "forms": [
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      "form": "deformation retracts",
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  "head_templates": [
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  "senses": [
    {
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        "en:Topology"
      ],
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        "A subspace such that there is a retraction onto it of the ambient space homotopic to the identity function on the ambient space."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "subspace",
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        ],
        [
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        ],
        [
          "onto",
          "onto"
        ],
        [
          "ambient",
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        ],
        [
          "space",
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        ],
        [
          "homotopic",
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        ],
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          "function",
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        ]
      ],
      "raw_glosses": [
        "(topology) A subspace such that there is a retraction onto it of the ambient space homotopic to the identity function on the ambient space."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "synonyms": [
    {
      "tags": [
        "verb"
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      "word": "deformation-retract"
    }
  ],
  "word": "deformation retract"
}

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    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English verbs"
  ],
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      "tags": [
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    },
    {
      "form": "deformation retracting",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "deformation retracted",
      "tags": [
        "participle",
        "past"
      ]
    },
    {
      "form": "deformation retracted",
      "tags": [
        "past"
      ]
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  ],
  "head_templates": [
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      "args": {},
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    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
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      "glosses": [
        "To have a deformation retract as a subspace."
      ]
    }
  ],
  "synonyms": [
    {
      "tags": [
        "verb"
      ],
      "word": "deformation-retract"
    }
  ],
  "word": "deformation retract"
}

This page is a part of the kaikki.org machine-readable English 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.