"hairy ball theorem" meaning in English

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      "expansion": "hairy ball theorem",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
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          "name": "Mathematics",
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      "glosses": [
        "A theorem stating that there is no nonvanishing continuous tangent vector field on the sphere; colloquially, that \"you can't comb a hairy ball flat without creating a cowlick\"."
      ],
      "id": "en-hairy_ball_theorem-en-name-KZd8Cm1I",
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          "mathematics",
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        [
          "nonvanishing",
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        [
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        [
          "tangent",
          "tangent"
        ],
        [
          "vector field",
          "vector field"
        ],
        [
          "sphere",
          "sphere"
        ],
        [
          "cowlick",
          "cowlick"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A theorem stating that there is no nonvanishing continuous tangent vector field on the sphere; colloquially, that \"you can't comb a hairy ball flat without creating a cowlick\"."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "teoréma o pričósyvanii ježá",
          "sense": "theorem of algebraic topology",
          "tags": [
            "feminine"
          ],
          "word": "теоре́ма о причёсывании ежа́"
        }
      ],
      "wikipedia": [
        "hairy ball theorem"
      ]
    }
  ],
  "word": "hairy ball theorem"
}

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      "args": {},
      "expansion": "hairy ball theorem",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
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    {
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      ],
      "glosses": [
        "A theorem stating that there is no nonvanishing continuous tangent vector field on the sphere; colloquially, that \"you can't comb a hairy ball flat without creating a cowlick\"."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "nonvanishing",
          "nonvanishing"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "tangent",
          "tangent"
        ],
        [
          "vector field",
          "vector field"
        ],
        [
          "sphere",
          "sphere"
        ],
        [
          "cowlick",
          "cowlick"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A theorem stating that there is no nonvanishing continuous tangent vector field on the sphere; colloquially, that \"you can't comb a hairy ball flat without creating a cowlick\"."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "hairy ball theorem"
      ]
    }
  ],
  "translations": [
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "teoréma o pričósyvanii ježá",
      "sense": "theorem of algebraic topology",
      "tags": [
        "feminine"
      ],
      "word": "теоре́ма о причёсывании ежа́"
    }
  ],
  "word": "hairy ball theorem"
}