"flag complex" meaning in English

See flag complex in All languages combined, or Wiktionary

Noun

Forms: flag complexes [plural]
Head templates: {{en-noun}} flag complex (plural flag complexes)
  1. (topology) A simplicial complex where every collection of pairwise adjacent vertices spans a simplex. Categories (topical): Topology
    Sense id: en-flag_complex-en-noun-Czq3GdEf Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for flag complex meaning in English (1.1kB)

{
  "forms": [
    {
      "form": "flag complexes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "flag complex (plural flag complexes)",
      "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": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A simplicial complex where every collection of pairwise adjacent vertices spans a simplex."
      ],
      "id": "en-flag_complex-en-noun-Czq3GdEf",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "simplicial complex",
          "simplicial complex"
        ],
        [
          "pairwise",
          "pairwise"
        ],
        [
          "adjacent",
          "adjacency"
        ],
        [
          "vertices",
          "vertices"
        ],
        [
          "spans",
          "span#Verb"
        ],
        [
          "simplex",
          "simplex"
        ]
      ],
      "raw_glosses": [
        "(topology) A simplicial complex where every collection of pairwise adjacent vertices spans a simplex."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "flag complex"
}
{
  "forms": [
    {
      "form": "flag complexes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "flag complex (plural flag complexes)",
      "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:Topology"
      ],
      "glosses": [
        "A simplicial complex where every collection of pairwise adjacent vertices spans a simplex."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "simplicial complex",
          "simplicial complex"
        ],
        [
          "pairwise",
          "pairwise"
        ],
        [
          "adjacent",
          "adjacency"
        ],
        [
          "vertices",
          "vertices"
        ],
        [
          "spans",
          "span#Verb"
        ],
        [
          "simplex",
          "simplex"
        ]
      ],
      "raw_glosses": [
        "(topology) A simplicial complex where every collection of pairwise adjacent vertices spans a simplex."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "flag complex"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.