"topological vector space" meaning in English

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  "lang_code": "en",
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      "glosses": [
        "A vector space over a topological field endowed with a topology (often the real or complex numbers with standard topology) such that vector addition and scalar multiplication are continuous functions."
      ],
      "id": "en-topological_vector_space-en-noun-ksRoGadp",
      "links": [
        [
          "functional analysis",
          "functional analysis"
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        [
          "vector space",
          "vector space"
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          "topological field",
          "topological field"
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          "topology",
          "topology"
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          "real",
          "real numbers"
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          "complex numbers",
          "complex numbers"
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          "continuous function",
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      "qualifier": "functional analysis",
      "raw_glosses": [
        "(functional analysis) A vector space over a topological field endowed with a topology (often the real or complex numbers with standard topology) such that vector addition and scalar multiplication are continuous functions."
      ],
      "synonyms": [
        {
          "sense": "vector space with topology such that addition and scalar multiplication are continuous",
          "word": "linear topological space"
        }
      ],
      "wikipedia": [
        "topological vector space"
      ]
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  "word": "topological vector space"
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        "A vector space over a topological field endowed with a topology (often the real or complex numbers with standard topology) such that vector addition and scalar multiplication are continuous functions."
      ],
      "links": [
        [
          "functional analysis",
          "functional analysis"
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          "vector space",
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        "(functional analysis) A vector space over a topological field endowed with a topology (often the real or complex numbers with standard topology) such that vector addition and scalar multiplication are continuous functions."
      ],
      "wikipedia": [
        "topological vector space"
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  "synonyms": [
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      "sense": "vector space with topology such that addition and scalar multiplication are continuous",
      "word": "linear topological space"
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  "word": "topological vector space"
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