"sequential compactness" meaning in English

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "sequential compactness (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "The property of a topological space that every sequence has a convergent subsequence."
      ],
      "id": "en-sequential_compactness-en-noun-QtaJ8sO2",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "convergent",
          "convergent"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The property of a topological space that every sequence has a convergent subsequence."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "Folgenkompaktheit"
        }
      ]
    }
  ],
  "word": "sequential compactness"
}

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "sequential compactness (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with German translations",
        "Translation table header lacks gloss",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "The property of a topological space that every sequence has a convergent subsequence."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "convergent",
          "convergent"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The property of a topological space that every sequence has a convergent subsequence."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "Folgenkompaktheit"
    }
  ],
  "word": "sequential compactness"
}