"homology sphere" meaning in English

{
  "forms": [
    {
      "form": "homology spheres",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homology sphere (plural homology spheres)",
      "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",
          "langcode": "en",
          "name": "Manifolds",
          "orig": "en:Manifolds",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A manifold whose homology is the same as that of some sphere of the same dimension"
      ],
      "id": "en-homology_sphere-en-noun-7TjcI1-y",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "homology",
          "homology"
        ],
        [
          "sphere",
          "sphere"
        ],
        [
          "dimension",
          "dimension"
        ]
      ],
      "raw_glosses": [
        "(topology) A manifold whose homology is the same as that of some sphere of the same dimension"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "homology sphere"
}

{
  "forms": [
    {
      "form": "homology spheres",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homology sphere (plural homology spheres)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Manifolds",
        "en:Topology"
      ],
      "glosses": [
        "A manifold whose homology is the same as that of some sphere of the same dimension"
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "homology",
          "homology"
        ],
        [
          "sphere",
          "sphere"
        ],
        [
          "dimension",
          "dimension"
        ]
      ],
      "raw_glosses": [
        "(topology) A manifold whose homology is the same as that of some sphere of the same dimension"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "homology sphere"
}