"noncompactness" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "non",
        "3": "compactness"
      },
      "expansion": "non- + compactness",
      "name": "prefix"
    }
  ],
  "etymology_text": "non- + compactness",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "noncompactness (uncountable)",
      "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"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with non-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Vatan Karakaya, Bouzara Nour El Houda, Kadri Dogan, Yunus Atalan, “Existence of fixed points for condensing operators under an integral condition”, in (Please provide the book title or journal name)",
          "text": "Our aim in this paper is to present results of existence of fixed points for continuous operators in Banach spaces using measure of noncompactness under an integral condition.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The quality or state of being noncompact."
      ],
      "id": "en-noncompactness-en-noun-Evkwa55c",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "noncompact",
          "noncompact#English"
        ]
      ],
      "raw_glosses": [
        "(topology) The quality or state of being noncompact."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "noncompactness"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "non",
        "3": "compactness"
      },
      "expansion": "non- + compactness",
      "name": "prefix"
    }
  ],
  "etymology_text": "non- + compactness",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "noncompactness (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with non-",
        "English terms with quotations",
        "English uncountable nouns",
        "en:Topology"
      ],
      "examples": [
        {
          "ref": "2015, Vatan Karakaya, Bouzara Nour El Houda, Kadri Dogan, Yunus Atalan, “Existence of fixed points for condensing operators under an integral condition”, in (Please provide the book title or journal name)",
          "text": "Our aim in this paper is to present results of existence of fixed points for continuous operators in Banach spaces using measure of noncompactness under an integral condition.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The quality or state of being noncompact."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "noncompact",
          "noncompact#English"
        ]
      ],
      "raw_glosses": [
        "(topology) The quality or state of being noncompact."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "noncompactness"
}