"uniform space" meaning in English

{
  "forms": [
    {
      "form": "uniform spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "uniform space (plural uniform 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"
        },
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          "name": "Terms with Japanese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Topological spaces",
          "orig": "en:Topological spaces",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A space for which properties like uniform continuity and uniform convergence can be formulated."
      ],
      "hypernyms": [
        {
          "sense": "Cauchy space",
          "word": "topological space"
        }
      ],
      "hyponyms": [
        {
          "word": "metric space"
        }
      ],
      "id": "en-uniform_space-en-noun-okhUjjtq",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "space",
          "space#English"
        ],
        [
          "uniform continuity",
          "uniform continuity#English"
        ],
        [
          "uniform convergence",
          "uniform convergence#English"
        ]
      ],
      "raw_glosses": [
        "(topology) A space for which properties like uniform continuity and uniform convergence can be formulated."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "a space for which uniform continuity can be formulated",
          "word": "一様空間"
        }
      ],
      "wikipedia": [
        "uniform space"
      ]
    }
  ],
  "word": "uniform space"
}

{
  "forms": [
    {
      "form": "uniform spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "uniform space (plural uniform spaces)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "sense": "Cauchy space",
      "word": "topological space"
    }
  ],
  "hyponyms": [
    {
      "word": "metric space"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        "Pages with entries",
        "Terms with Japanese translations",
        "en:Topological spaces",
        "en:Topology"
      ],
      "glosses": [
        "A space for which properties like uniform continuity and uniform convergence can be formulated."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "space",
          "space#English"
        ],
        [
          "uniform continuity",
          "uniform continuity#English"
        ],
        [
          "uniform convergence",
          "uniform convergence#English"
        ]
      ],
      "raw_glosses": [
        "(topology) A space for which properties like uniform continuity and uniform convergence can be formulated."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "uniform space"
      ]
    }
  ],
  "translations": [
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "a space for which uniform continuity can be formulated",
      "word": "一様空間"
    }
  ],
  "word": "uniform space"
}