"homology sphere" meaning in All languages combined

See homology sphere on Wiktionary

Noun [English]

Forms: homology spheres [plural]
Head templates: {{en-noun}} homology sphere (plural homology spheres)
  1. (topology) A manifold whose homology is the same as that of some sphere of the same dimension Categories (topical): Topology
    Sense id: en-homology_sphere-en-noun-7TjcI1-y Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Manifolds Topics: mathematics, sciences, topology

Inflected forms

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  "forms": [
    {
      "form": "homology spheres",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "homology sphere (plural homology spheres)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
          ],
          "source": "w"
        },
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        },
        {
          "kind": "other",
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          "parents": [],
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        },
        {
          "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",
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        "Pages with entries",
        "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"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.