"Heegaard decomposition" meaning in English

{
  "etymology_text": "Named after Poul Heegaard, Danish mathematician.",
  "forms": [
    {
      "form": "Heegaard decompositions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Heegaard decomposition (plural Heegaard decompositions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "The decomposition of a 3-manifold as two handlebodies unioned along their boundaries."
      ],
      "id": "en-Heegaard_decomposition-en-noun-d2sfPuBW",
      "links": [
        [
          "manifold",
          "manifold"
        ],
        [
          "two",
          "two"
        ],
        [
          "handlebodies",
          "handlebody"
        ],
        [
          "union",
          "union"
        ],
        [
          "boundaries",
          "boundary"
        ]
      ],
      "synonyms": [
        {
          "word": "Heegaard splitting"
        }
      ],
      "wikipedia": [
        "Poul Heegaard"
      ]
    }
  ],
  "word": "Heegaard decomposition"
}

{
  "etymology_text": "Named after Poul Heegaard, Danish mathematician.",
  "forms": [
    {
      "form": "Heegaard decompositions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Heegaard decomposition (plural Heegaard decompositions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries"
      ],
      "glosses": [
        "The decomposition of a 3-manifold as two handlebodies unioned along their boundaries."
      ],
      "links": [
        [
          "manifold",
          "manifold"
        ],
        [
          "two",
          "two"
        ],
        [
          "handlebodies",
          "handlebody"
        ],
        [
          "union",
          "union"
        ],
        [
          "boundaries",
          "boundary"
        ]
      ],
      "wikipedia": [
        "Poul Heegaard"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Heegaard splitting"
    }
  ],
  "word": "Heegaard decomposition"
}