See sheaf theory on Wiktionary
{
"forms": [
{
"form": "sheaf theories",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "sheaf theory (countable and uncountable, plural sheaf theories)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "54 46",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "48 52",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"That field of modern mathematics that studies sheaves (“abstract constructs in topology”)."
],
"id": "en-sheaf_theory-en-noun-ELla23J5",
"links": [
[
"mathematics",
"mathematics"
],
[
"field",
"field"
],
[
"sheaves",
"sheaf#English"
],
[
"topology",
"topology"
]
],
"raw_glosses": [
"(mathematics, uncountable) That field of modern mathematics that studies sheaves (“abstract constructs in topology”)."
],
"tags": [
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
{
"_dis": "54 46",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "48 52",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"A cohomology theory that is also a sheaf cohomology on an appropriate site."
],
"id": "en-sheaf_theory-en-noun-YfaOOFAP",
"links": [
[
"cohomology theory",
"cohomology theory"
],
[
"sheaf cohomology",
"sheaf cohomology"
],
[
"site",
"site"
]
],
"qualifier": "topos theory",
"raw_glosses": [
"(topos theory, cohomology, countable) A cohomology theory that is also a sheaf cohomology on an appropriate site."
],
"tags": [
"countable"
]
}
],
"word": "sheaf theory"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English uncountable nouns",
"Pages with 1 entry",
"Pages with entries"
],
"forms": [
{
"form": "sheaf theories",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "sheaf theory (countable and uncountable, plural sheaf theories)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English uncountable nouns",
"en:Mathematics"
],
"glosses": [
"That field of modern mathematics that studies sheaves (“abstract constructs in topology”)."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"field",
"field"
],
[
"sheaves",
"sheaf#English"
],
[
"topology",
"topology"
]
],
"raw_glosses": [
"(mathematics, uncountable) That field of modern mathematics that studies sheaves (“abstract constructs in topology”)."
],
"tags": [
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"English countable nouns"
],
"glosses": [
"A cohomology theory that is also a sheaf cohomology on an appropriate site."
],
"links": [
[
"cohomology theory",
"cohomology theory"
],
[
"sheaf cohomology",
"sheaf cohomology"
],
[
"site",
"site"
]
],
"qualifier": "topos theory",
"raw_glosses": [
"(topos theory, cohomology, countable) A cohomology theory that is also a sheaf cohomology on an appropriate site."
],
"tags": [
"countable"
]
}
],
"word": "sheaf theory"
}
Download raw JSONL data for sheaf theory meaning in All languages combined (1.4kB)
{
"called_from": "form_descriptions/1831",
"msg": "unrecognized sense qualifier: topos theory, cohomology, countable",
"path": [
"sheaf theory"
],
"section": "English",
"subsection": "noun",
"title": "sheaf theory",
"trace": ""
}
{
"called_from": "form_descriptions/1831",
"msg": "unrecognized sense qualifier: topos theory, cohomology, countable",
"path": [
"sheaf theory"
],
"section": "English",
"subsection": "noun",
"title": "sheaf theory",
"trace": ""
}
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.