"identification space" meaning in All languages combined

See identification space on Wiktionary

Noun [English]

Forms: identification spaces [plural]
Head templates: {{en-noun}} identification space (plural identification spaces)
  1. (topology) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation. Categories (topical): Topology Synonyms: quotient space
    Sense id: en-identification_space-en-noun-UY~i~J4n Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for identification space meaning in All languages combined (1.2kB)

{
  "forms": [
    {
      "form": "identification spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "identification space (plural identification spaces)",
      "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 space obtained from another by identification of points that are equivalent to one another in some equivalence relation."
      ],
      "id": "en-identification_space-en-noun-UY~i~J4n",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "point",
          "point"
        ],
        [
          "equivalent",
          "equivalent"
        ],
        [
          "equivalence relation",
          "equivalence relation"
        ]
      ],
      "raw_glosses": [
        "(topology) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation."
      ],
      "synonyms": [
        {
          "word": "quotient space"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "identification space"
}
{
  "forms": [
    {
      "form": "identification spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "identification space (plural identification spaces)",
      "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 space obtained from another by identification of points that are equivalent to one another in some equivalence relation."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "point",
          "point"
        ],
        [
          "equivalent",
          "equivalent"
        ],
        [
          "equivalence relation",
          "equivalence relation"
        ]
      ],
      "raw_glosses": [
        "(topology) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "quotient space"
    }
  ],
  "word": "identification space"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-18 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.