"topologize" meaning in English

{
  "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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "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": "quote"
        }
      ],
      "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",
        "Pages with 1 entry",
        "Pages with entries",
        "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": "quote"
        }
      ],
      "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"
}