"cofinite topology" meaning in All languages combined

See cofinite topology on Wiktionary

Noun [English]

Forms: cofinite topologies [plural]
Head templates: {{en-noun}} cofinite topology (plural cofinite topologies)
  1. (topology) A topology consisting of the empty set and all cofinite subsets of the underlying set. Categories (topical): Topology
    Sense id: en-cofinite_topology-en-noun-46BJhKNx Categories (other): English entries with incorrect language header, Pages with 1 entry Topics: mathematics, sciences, topology

Inflected forms

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      "tags": [
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  "head_templates": [
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      "expansion": "cofinite topology (plural cofinite topologies)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
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        {
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          "orig": "en:Topology",
          "parents": [
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            "Formal sciences",
            "Sciences",
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            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A topology consisting of the empty set and all cofinite subsets of the underlying set."
      ],
      "id": "en-cofinite_topology-en-noun-46BJhKNx",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "empty set",
          "empty set"
        ],
        [
          "underlying set",
          "underlying set"
        ]
      ],
      "raw_glosses": [
        "(topology) A topology consisting of the empty set and all cofinite subsets of the underlying set."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "cofinite topology"
}
{
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      "form": "cofinite topologies",
      "tags": [
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    }
  ],
  "head_templates": [
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  "senses": [
    {
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        "English countable nouns",
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        "English lemmas",
        "English multiword terms",
        "English nouns",
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      ],
      "glosses": [
        "A topology consisting of the empty set and all cofinite subsets of the underlying set."
      ],
      "links": [
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          "empty set",
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        ],
        [
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        ]
      ],
      "raw_glosses": [
        "(topology) A topology consisting of the empty set and all cofinite subsets of the underlying set."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "cofinite topology"
}

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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 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.