"deformation retract" meaning in English

{
  "forms": [
    {
      "form": "deformation retracts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "deformation retract (plural deformation retracts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
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          "_dis": "69 31",
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        {
          "_dis": "71 29",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "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": [
        [
          "topology",
          "topology"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "retraction",
          "retraction"
        ],
        [
          "onto",
          "onto"
        ],
        [
          "ambient",
          "ambient"
        ],
        [
          "space",
          "space"
        ],
        [
          "homotopic",
          "homotopic"
        ],
        [
          "identity",
          "identity"
        ],
        [
          "function",
          "function"
        ]
      ],
      "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"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "subspace such that there is a retraction onto it",
          "word": "aito typistymä"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "subspace such that there is a retraction onto it",
          "word": "deformaatioretrakti"
        }
      ]
    }
  ],
  "word": "deformation retract"
}

{
  "forms": [
    {
      "form": "deformation retracts",
      "tags": [
        "present",
        "singular",
        "third-person"
      ]
    },
    {
      "form": "deformation retracting",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "deformation retracted",
      "tags": [
        "participle",
        "past"
      ]
    },
    {
      "form": "deformation retracted",
      "tags": [
        "past"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "deformation retract (third-person singular simple present deformation retracts, present participle deformation retracting, simple past and past participle deformation retracted)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
    {
      "glosses": [
        "To have a deformation retract as a subspace."
      ],
      "id": "en-deformation_retract-en-verb-DJf3XywW",
      "synonyms": [
        {
          "_dis1": "12 88",
          "tags": [
            "verb"
          ],
          "word": "deformation-retract"
        }
      ]
    }
  ],
  "word": "deformation retract"
}

{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English verbs",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Finnish translations"
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  "forms": [
    {
      "form": "deformation retracts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "deformation retract (plural deformation retracts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Topology"
      ],
      "glosses": [
        "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",
          "subspace"
        ],
        [
          "retraction",
          "retraction"
        ],
        [
          "onto",
          "onto"
        ],
        [
          "ambient",
          "ambient"
        ],
        [
          "space",
          "space"
        ],
        [
          "homotopic",
          "homotopic"
        ],
        [
          "identity",
          "identity"
        ],
        [
          "function",
          "function"
        ]
      ],
      "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"
      ],
      "word": "deformation-retract"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "subspace such that there is a retraction onto it",
      "word": "aito typistymä"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "subspace such that there is a retraction onto it",
      "word": "deformaatioretrakti"
    }
  ],
  "word": "deformation retract"
}

{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English verbs",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Finnish translations"
  ],
  "forms": [
    {
      "form": "deformation retracts",
      "tags": [
        "present",
        "singular",
        "third-person"
      ]
    },
    {
      "form": "deformation retracting",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "deformation retracted",
      "tags": [
        "participle",
        "past"
      ]
    },
    {
      "form": "deformation retracted",
      "tags": [
        "past"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "deformation retract (third-person singular simple present deformation retracts, present participle deformation retracting, simple past and past participle deformation retracted)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
    {
      "glosses": [
        "To have a deformation retract as a subspace."
      ]
    }
  ],
  "synonyms": [
    {
      "tags": [
        "verb"
      ],
      "word": "deformation-retract"
    }
  ],
  "word": "deformation retract"
}