"paracompact" meaning in English

{
  "etymology_templates": [
    {
      "args": {
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        "2": "para",
        "3": "compact"
      },
      "expansion": "para- + compact",
      "name": "prefix"
    }
  ],
  "etymology_text": "From para- + compact.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "paracompact (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
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        {
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          "source": "w"
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          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "In which every open cover admits an open locally finite refinement."
      ],
      "id": "en-paracompact-en-adj-KU6Uc7lZ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological space",
          "topological space"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a topological space) In which every open cover admits an open locally finite refinement."
      ],
      "raw_tags": [
        "of a topological space"
      ],
      "related": [
        {
          "word": "paracompactification"
        },
        {
          "word": "paracompactifying"
        },
        {
          "word": "paracompactness"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "property of a topological space",
          "word": "paracompact"
        }
      ]
    }
  ],
  "word": "paracompact"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "para",
        "3": "compact"
      },
      "expansion": "para- + compact",
      "name": "prefix"
    }
  ],
  "etymology_text": "From para- + compact.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "paracompact (not comparable)",
      "name": "en-adj"
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  ],
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  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "paracompactification"
    },
    {
      "word": "paracompactifying"
    },
    {
      "word": "paracompactness"
    }
  ],
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        "en:Mathematics"
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      "glosses": [
        "In which every open cover admits an open locally finite refinement."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "topological space",
          "topological space"
        ]
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      "raw_glosses": [
        "(mathematics, of a topological space) In which every open cover admits an open locally finite refinement."
      ],
      "raw_tags": [
        "of a topological space"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
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  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "property of a topological space",
      "word": "paracompact"
    }
  ],
  "word": "paracompact"
}