See Sperner family on Wiktionary
{ "etymology_text": "Named after Emanuel Sperner.", "forms": [ { "form": "Sperner families", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Sperner family (plural Sperner families)", "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": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Combinatorics", "orig": "en:Combinatorics", "parents": [], "source": "w" } ], "glosses": [ "A family F of subsets of a finite set E in which none of the sets contains another; or, equivalently, an antichain in the inclusion lattice over the power set of E." ], "id": "en-Sperner_family-en-noun-bNxrQ8aa", "links": [ [ "combinatorics", "combinatorics" ], [ "family", "family" ], [ "subset", "subset" ], [ "finite", "finite" ], [ "set", "set" ], [ "antichain", "antichain" ], [ "power set", "power set" ] ], "raw_glosses": [ "(combinatorics) A family F of subsets of a finite set E in which none of the sets contains another; or, equivalently, an antichain in the inclusion lattice over the power set of E." ], "synonyms": [ { "word": "clutter" }, { "word": "Sperner system" } ], "topics": [ "combinatorics", "mathematics", "sciences" ], "wikipedia": [ "Emanuel Sperner" ] } ], "word": "Sperner family" }
{ "etymology_text": "Named after Emanuel Sperner.", "forms": [ { "form": "Sperner families", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Sperner family (plural Sperner families)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Combinatorics" ], "glosses": [ "A family F of subsets of a finite set E in which none of the sets contains another; or, equivalently, an antichain in the inclusion lattice over the power set of E." ], "links": [ [ "combinatorics", "combinatorics" ], [ "family", "family" ], [ "subset", "subset" ], [ "finite", "finite" ], [ "set", "set" ], [ "antichain", "antichain" ], [ "power set", "power set" ] ], "raw_glosses": [ "(combinatorics) A family F of subsets of a finite set E in which none of the sets contains another; or, equivalently, an antichain in the inclusion lattice over the power set of E." ], "synonyms": [ { "word": "clutter" }, { "word": "Sperner system" } ], "topics": [ "combinatorics", "mathematics", "sciences" ], "wikipedia": [ "Emanuel Sperner" ] } ], "word": "Sperner family" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-16 from the enwiktionary dump dated 2025-05-01 using wiktextract (142890b and 1d3fdbf). 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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