"Alexander horned sphere" meaning in English

{
  "etymology_text": "Discovered by J. W. Alexander (1924).",
  "forms": [
    {
      "form": "Alexander horned spheres",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Alexander horned sphere (plural Alexander horned 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"
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          "source": "w"
        },
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          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
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          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Curves",
          "orig": "en:Curves",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Fractals",
          "orig": "en:Fractals",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A pathological object, a certain embedding of a sphere in three-dimensional Euclidean space, obtained by various modifications of a torus."
      ],
      "id": "en-Alexander_horned_sphere-en-noun-b8TDhPyD",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "pathological",
          "pathological"
        ],
        [
          "embedding",
          "embedding"
        ],
        [
          "sphere",
          "sphere"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "torus",
          "torus"
        ]
      ],
      "raw_glosses": [
        "(topology) A pathological object, a certain embedding of a sphere in three-dimensional Euclidean space, obtained by various modifications of a torus."
      ],
      "related": [
        {
          "word": "Alexander horned ball"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "Alexander horned sphere"
}

{
  "etymology_text": "Discovered by J. W. Alexander (1924).",
  "forms": [
    {
      "form": "Alexander horned spheres",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Alexander horned sphere (plural Alexander horned spheres)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Alexander horned ball"
    }
  ],
  "senses": [
    {
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        "English countable nouns",
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        "English entries with topic categories using raw markup",
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        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Curves",
        "en:Fractals",
        "en:Topology"
      ],
      "glosses": [
        "A pathological object, a certain embedding of a sphere in three-dimensional Euclidean space, obtained by various modifications of a torus."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "pathological",
          "pathological"
        ],
        [
          "embedding",
          "embedding"
        ],
        [
          "sphere",
          "sphere"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "torus",
          "torus"
        ]
      ],
      "raw_glosses": [
        "(topology) A pathological object, a certain embedding of a sphere in three-dimensional Euclidean space, obtained by various modifications of a torus."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "Alexander horned sphere"
}