"diffeology" meaning in English

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    {
      "form": "diffeologies",
      "tags": [
        "plural"
      ]
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  ],
  "head_templates": [
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      "expansion": "diffeology (plural diffeologies)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Differential geometry",
          "orig": "en:Differential geometry",
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      ],
      "derived": [
        {
          "word": "quotient diffeology"
        }
      ],
      "examples": [
        {
          "ref": "2007, Jan Kubarski, Geometry and Topology of Manifolds: The Mathematical Legacy of Charles Ehresmann; on the Occasion of the Hundredth Anniversary of His Birthday, page 358",
          "text": "In this case, A and f(A) are both D-open and f#x3A;A#x5C;rightarrowf(A) is a diffeomorphism where A and f(A) are equipped with their subset diffeology.",
          "type": "quotation"
        },
        {
          "ref": "2010, Patrick Iglesias-Zemmour, The Moment Maps in Diffeology, American Mathematical Society, page 32",
          "text": "And, for #x5C;mathcal#x7B;G#x7D;#x2A;#x2F;#x5C;Gamma and #x5C;mathcal#x7B;G#x7D;'#x2A;#x2F;#x5C;Gamma' equipped with the quotient diffeologies, h#x2A;#x5F;#x5C;Gamma is naturally smooth.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The set of smooth parametrizations of a given set X; the set of smooth maps S→X, where S is any open set ⊆ℝⁿ; the theory of such constructs."
      ],
      "id": "en-diffeology-en-noun-BNdttdOg",
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "smooth",
          "smooth"
        ],
        [
          "parametrization",
          "parametrization"
        ],
        [
          "map",
          "map"
        ],
        [
          "open set",
          "open set"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) The set of smooth parametrizations of a given set X; the set of smooth maps S→X, where S is any open set ⊆ℝⁿ; the theory of such constructs."
      ],
      "related": [
        {
          "word": "diffeological"
        },
        {
          "word": "diffeological space"
        }
      ]
    }
  ],
  "word": "diffeology"
}

{
  "derived": [
    {
      "word": "quotient diffeology"
    }
  ],
  "forms": [
    {
      "form": "diffeologies",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "diffeology (plural diffeologies)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "diffeological"
    },
    {
      "word": "diffeological space"
    }
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      "examples": [
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          "ref": "2007, Jan Kubarski, Geometry and Topology of Manifolds: The Mathematical Legacy of Charles Ehresmann; on the Occasion of the Hundredth Anniversary of His Birthday, page 358",
          "text": "In this case, A and f(A) are both D-open and f#x3A;A#x5C;rightarrowf(A) is a diffeomorphism where A and f(A) are equipped with their subset diffeology.",
          "type": "quotation"
        },
        {
          "ref": "2010, Patrick Iglesias-Zemmour, The Moment Maps in Diffeology, American Mathematical Society, page 32",
          "text": "And, for #x5C;mathcal#x7B;G#x7D;#x2A;#x2F;#x5C;Gamma and #x5C;mathcal#x7B;G#x7D;'#x2A;#x2F;#x5C;Gamma' equipped with the quotient diffeologies, h#x2A;#x5F;#x5C;Gamma is naturally smooth.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The set of smooth parametrizations of a given set X; the set of smooth maps S→X, where S is any open set ⊆ℝⁿ; the theory of such constructs."
      ],
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        [
          "differential geometry",
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          "parametrization",
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        ],
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          "map",
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        ],
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      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) The set of smooth parametrizations of a given set X; the set of smooth maps S→X, where S is any open set ⊆ℝⁿ; the theory of such constructs."
      ]
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  ],
  "word": "diffeology"
}