"nilmanifold" meaning in All languages combined

See nilmanifold on Wiktionary

Noun [English]

Forms: nilmanifolds [plural]
Etymology: nil + manifold, after nilpotent Etymology templates: {{compound|en|nil|manifold}} nil + manifold Head templates: {{en-noun}} nilmanifold (plural nilmanifolds)
  1. (mathematics) A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it. Wikipedia link: nilmanifold Categories (topical): Mathematics
    Sense id: en-nilmanifold-en-noun-~sfFnCow Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for nilmanifold meaning in All languages combined (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "nil",
        "3": "manifold"
      },
      "expansion": "nil + manifold",
      "name": "compound"
    }
  ],
  "etymology_text": "nil + manifold, after nilpotent",
  "forms": [
    {
      "form": "nilmanifolds",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nilmanifold (plural nilmanifolds)",
      "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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it."
      ],
      "id": "en-nilmanifold-en-noun-~sfFnCow",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "quotient space",
          "quotient space"
        ],
        [
          "nilpotent",
          "nilpotent"
        ],
        [
          "Lie group",
          "Lie group"
        ],
        [
          "modulo",
          "modulo"
        ],
        [
          "subgroup",
          "subgroup"
        ],
        [
          "homogeneous space",
          "homogeneous space"
        ],
        [
          "transitive",
          "transitive"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "nilmanifold"
      ]
    }
  ],
  "word": "nilmanifold"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "nil",
        "3": "manifold"
      },
      "expansion": "nil + manifold",
      "name": "compound"
    }
  ],
  "etymology_text": "nil + manifold, after nilpotent",
  "forms": [
    {
      "form": "nilmanifolds",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nilmanifold (plural nilmanifolds)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English compound terms",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "quotient space",
          "quotient space"
        ],
        [
          "nilpotent",
          "nilpotent"
        ],
        [
          "Lie group",
          "Lie group"
        ],
        [
          "modulo",
          "modulo"
        ],
        [
          "subgroup",
          "subgroup"
        ],
        [
          "homogeneous space",
          "homogeneous space"
        ],
        [
          "transitive",
          "transitive"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "nilmanifold"
      ]
    }
  ],
  "word": "nilmanifold"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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.