"perfect set" meaning in English

See perfect set in All languages combined, or Wiktionary

Noun

Forms: perfect sets [plural]
Head templates: {{en-noun}} perfect set (plural perfect sets)
  1. (mathematical analysis) A set which is equal to its set of limit points. That is, a set A is perfect if A'=A. Categories (topical): Mathematical analysis
    Sense id: en-perfect_set-en-noun-xqh33nYt Categories (other): English entries with incorrect language header Topics: mathematical-analysis, mathematics, sciences

Inflected forms

Download JSON data for perfect set meaning in English (1.1kB)

{
  "forms": [
    {
      "form": "perfect sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "perfect set (plural perfect sets)",
      "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": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The Cantor set is perfect."
        }
      ],
      "glosses": [
        "A set which is equal to its set of limit points. That is, a set A is perfect if A'=A."
      ],
      "id": "en-perfect_set-en-noun-xqh33nYt",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A set which is equal to its set of limit points. That is, a set A is perfect if A'=A."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "perfect set"
}
{
  "forms": [
    {
      "form": "perfect sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "perfect set (plural perfect sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematical analysis"
      ],
      "examples": [
        {
          "text": "The Cantor set is perfect."
        }
      ],
      "glosses": [
        "A set which is equal to its set of limit points. That is, a set A is perfect if A'=A."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A set which is equal to its set of limit points. That is, a set A is perfect if A'=A."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "perfect set"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.