See directed set on Wiktionary
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"glosses": [
"A set equipped with a preorder such that for any two elements a and b there is an element c such that a ≤ c and b ≤ c."
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"id": "en-directed_set-en-noun-o7F4bp8h",
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"(algebra, set theory) A set equipped with a preorder such that for any two elements a and b there is an element c such that a ≤ c and b ≤ c."
],
"related": [
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"word": "filtered category"
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],
"synonyms": [
{
"sense": "set with preorder",
"word": "downward directed set"
},
{
"sense": "set with preorder",
"word": "upward directed set"
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"word": "directed set"
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"(algebra, set theory) A set equipped with a preorder such that for any two elements a and b there is an element c such that a ≤ c and b ≤ c."
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Download raw JSONL data for directed set meaning in All languages combined (1.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.