See Cantor-Bendixson theorem in All languages combined, or Wiktionary
{ "etymology_text": "Named after Georg Cantor (1845–1918), a German mathematician who invented set theory, and Ivar Otto Bendixson (1861–1935), a Swedish mathematician.", "head_templates": [ { "args": {}, "expansion": "Cantor-Bendixson theorem", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Infinity", "orig": "en:Infinity", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Set theory", "orig": "en:Set theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A theorem which (in a simpler formulation) states that a closed uncountable set in Euclidean n-space is equal to the disjoint union of a perfect set and a countable set." ], "id": "en-Cantor-Bendixson_theorem-en-name-n9k0TjJL", "links": [ [ "set theory", "set theory" ], [ "perfect set", "perfect set" ], [ "countable", "countable" ] ], "raw_glosses": [ "(set theory) A theorem which (in a simpler formulation) states that a closed uncountable set in Euclidean n-space is equal to the disjoint union of a perfect set and a countable set." ], "topics": [ "mathematics", "sciences", "set-theory" ], "wikipedia": [ "Georg Cantor", "Ivar Otto Bendixson", "Perfect set property" ] } ], "word": "Cantor-Bendixson theorem" }
{ "etymology_text": "Named after Georg Cantor (1845–1918), a German mathematician who invented set theory, and Ivar Otto Bendixson (1861–1935), a Swedish mathematician.", "head_templates": [ { "args": {}, "expansion": "Cantor-Bendixson theorem", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Infinity", "en:Set theory" ], "glosses": [ "A theorem which (in a simpler formulation) states that a closed uncountable set in Euclidean n-space is equal to the disjoint union of a perfect set and a countable set." ], "links": [ [ "set theory", "set theory" ], [ "perfect set", "perfect set" ], [ "countable", "countable" ] ], "raw_glosses": [ "(set theory) A theorem which (in a simpler formulation) states that a closed uncountable set in Euclidean n-space is equal to the disjoint union of a perfect set and a countable set." ], "topics": [ "mathematics", "sciences", "set-theory" ], "wikipedia": [ "Georg Cantor", "Ivar Otto Bendixson", "Perfect set property" ] } ], "word": "Cantor-Bendixson theorem" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-18 from the enwiktionary dump dated 2025-01-01 using wiktextract (e4a2c88 and 4230888). 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.
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