"topologize" meaning in All languages combined

See topologize on Wiktionary

Verb [English]

Forms: topologizes [present, singular, third-person], topologizing [participle, present], topologized [participle, past], topologized [past]
Head templates: {{en-verb}} topologize (third-person singular simple present topologizes, present participle topologizing, simple past and past participle topologized)
  1. (mathematics) To equip with a topology, to characterize as a topological space Categories (topical): Mathematics
    Sense id: en-topologize-en-verb-y-~XKA~- Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for topologize meaning in All languages combined (1.6kB)

{
  "forms": [
    {
      "form": "topologizes",
      "tags": [
        "present",
        "singular",
        "third-person"
      ]
    },
    {
      "form": "topologizing",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "topologized",
      "tags": [
        "participle",
        "past"
      ]
    },
    {
      "form": "topologized",
      "tags": [
        "past"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "topologize (third-person singular simple present topologizes, present participle topologizing, simple past and past participle topologized)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "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"
        }
      ],
      "examples": [
        {
          "ref": "2015, Habibollah Ansari-Toroghy, Shokoufeh Habibi, “The Zariski topology-graph on the maximal spectrum of modules over commutative rings”, in arXiv",
          "text": "We topologize Spec(M) with Zariski topology, which is analogous to that for Spec(R), and consider Max(M) as the induced subspace topology.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "To equip with a topology, to characterize as a topological space"
      ],
      "id": "en-topologize-en-verb-y-~XKA~-",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "topological space",
          "topological space"
        ]
      ],
      "raw_glosses": [
        "(mathematics) To equip with a topology, to characterize as a topological space"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "topologize"
}
{
  "forms": [
    {
      "form": "topologizes",
      "tags": [
        "present",
        "singular",
        "third-person"
      ]
    },
    {
      "form": "topologizing",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "topologized",
      "tags": [
        "participle",
        "past"
      ]
    },
    {
      "form": "topologized",
      "tags": [
        "past"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "topologize (third-person singular simple present topologizes, present participle topologizing, simple past and past participle topologized)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English terms with quotations",
        "English verbs",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Habibollah Ansari-Toroghy, Shokoufeh Habibi, “The Zariski topology-graph on the maximal spectrum of modules over commutative rings”, in arXiv",
          "text": "We topologize Spec(M) with Zariski topology, which is analogous to that for Spec(R), and consider Max(M) as the induced subspace topology.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "To equip with a topology, to characterize as a topological space"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "topological space",
          "topological space"
        ]
      ],
      "raw_glosses": [
        "(mathematics) To equip with a topology, to characterize as a topological space"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "topologize"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.