"Maharam's theorem" meaning in English

{
  "etymology_text": "The theorem is due to Dorothy Maharam.",
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        "A result about the decomposability of measure spaces, playing an important role in the theory of Banach spaces. In brief, it states that every complete measure space is decomposable into \"non-atomic parts\" (copies of products of the unit interval [0,1] on the reals), and \"purely atomic parts\", using the counting measure on some discrete space."
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          "mathematics",
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          "decomposability",
          "decomposability"
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          "measure space",
          "measure space"
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          "Banach space",
          "Banach space"
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          "real",
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      "raw_glosses": [
        "(mathematics) A result about the decomposability of measure spaces, playing an important role in the theory of Banach spaces. In brief, it states that every complete measure space is decomposable into \"non-atomic parts\" (copies of products of the unit interval [0,1] on the reals), and \"purely atomic parts\", using the counting measure on some discrete space."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Dorothy Maharam",
        "Maharam's theorem"
      ]
    }
  ],
  "word": "Maharam's theorem"
}

{
  "etymology_text": "The theorem is due to Dorothy Maharam.",
  "head_templates": [
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  "pos": "name",
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      "glosses": [
        "A result about the decomposability of measure spaces, playing an important role in the theory of Banach spaces. In brief, it states that every complete measure space is decomposable into \"non-atomic parts\" (copies of products of the unit interval [0,1] on the reals), and \"purely atomic parts\", using the counting measure on some discrete space."
      ],
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          "mathematics",
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          "decomposability",
          "decomposability"
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          "measure space",
          "measure space"
        ],
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          "Banach space",
          "Banach space"
        ],
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          "real",
          "real"
        ]
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        "(mathematics) A result about the decomposability of measure spaces, playing an important role in the theory of Banach spaces. In brief, it states that every complete measure space is decomposable into \"non-atomic parts\" (copies of products of the unit interval [0,1] on the reals), and \"purely atomic parts\", using the counting measure on some discrete space."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
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        "Dorothy Maharam",
        "Maharam's theorem"
      ]
    }
  ],
  "word": "Maharam's theorem"
}