"trivial topology" meaning in English

See trivial topology in All languages combined, or Wiktionary

Noun

Forms: trivial topologies [plural]
Head templates: {{en-noun}} trivial topology (plural trivial topologies)
  1. (topology) A topology consisting only of the empty set and the underlying set. Wikipedia link: trivial topology Categories (topical): Topology Synonyms: chaotic topology, indiscrete topology
    Sense id: en-trivial_topology-en-noun-6xDggfON Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Download JSON data for trivial topology meaning in English (1.1kB)

{
  "forms": [
    {
      "form": "trivial topologies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "trivial topology (plural trivial topologies)",
      "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 topology consisting only of the empty set and the underlying set."
      ],
      "id": "en-trivial_topology-en-noun-6xDggfON",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "empty set",
          "empty set"
        ],
        [
          "underlying set",
          "underlying set"
        ]
      ],
      "raw_glosses": [
        "(topology) A topology consisting only of the empty set and the underlying set."
      ],
      "synonyms": [
        {
          "word": "chaotic topology"
        },
        {
          "word": "indiscrete topology"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "trivial topology"
      ]
    }
  ],
  "word": "trivial topology"
}
{
  "forms": [
    {
      "form": "trivial topologies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "trivial topology (plural trivial topologies)",
      "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 topology consisting only of the empty set and the underlying set."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "empty set",
          "empty set"
        ],
        [
          "underlying set",
          "underlying set"
        ]
      ],
      "raw_glosses": [
        "(topology) A topology consisting only of the empty set and the underlying set."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "trivial topology"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "chaotic topology"
    },
    {
      "word": "indiscrete topology"
    }
  ],
  "word": "trivial topology"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). 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.