"hemicontinuous" meaning in English

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  "etymology_text": "From hemi- + continuous.",
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      "expansion": "hemicontinuous (not comparable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
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      "glosses": [
        "Having the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element."
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        "(mathematics) Having the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element."
      ],
      "related": [
        {
          "word": "hemicontinuity"
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      ],
      "tags": [
        "not-comparable"
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      "topics": [
        "mathematics",
        "sciences"
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  "word": "hemicontinuous"
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      "expansion": "hemi- + continuous",
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  ],
  "etymology_text": "From hemi- + continuous.",
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  "lang_code": "en",
  "pos": "adj",
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    {
      "word": "hemicontinuity"
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        "Having the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element."
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        "(mathematics) Having the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element."
      ],
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        "not-comparable"
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        "mathematics",
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  "word": "hemicontinuous"
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