"Dvoretzky's theorem" meaning in English

{
  "etymology_text": "Proved by Aryeh Dvoretzky in the early 1960s.",
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      "glosses": [
        "An important structural theorem in the theory of Banach spaces, essentially stating that every sufficiently high-dimensional normed vector space will have low-dimensional subspaces that are approximately Euclidean."
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      "id": "en-Dvoretzky's_theorem-en-name-~Z6~8z4N",
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          "mathematics",
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          "structural",
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        [
          "Banach space",
          "Banach space"
        ],
        [
          "subspace",
          "subspace"
        ],
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          "Euclidean",
          "Euclidean"
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      ],
      "raw_glosses": [
        "(mathematics) An important structural theorem in the theory of Banach spaces, essentially stating that every sufficiently high-dimensional normed vector space will have low-dimensional subspaces that are approximately Euclidean."
      ],
      "topics": [
        "mathematics",
        "sciences"
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  "word": "Dvoretzky's theorem"
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{
  "etymology_text": "Proved by Aryeh Dvoretzky in the early 1960s.",
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      "glosses": [
        "An important structural theorem in the theory of Banach spaces, essentially stating that every sufficiently high-dimensional normed vector space will have low-dimensional subspaces that are approximately Euclidean."
      ],
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        [
          "mathematics",
          "mathematics"
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          "structural",
          "structural"
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          "Banach space",
          "Banach space"
        ],
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          "subspace",
          "subspace"
        ],
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          "Euclidean",
          "Euclidean"
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        "(mathematics) An important structural theorem in the theory of Banach spaces, essentially stating that every sufficiently high-dimensional normed vector space will have low-dimensional subspaces that are approximately Euclidean."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Dvoretzky's theorem"
}