See Białynicki-Birula decomposition in All languages combined, or Wiktionary
{
"forms": [
{
"form": "Białynicki-Birula decompositions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"head": "Białynicki-Birula decomposition"
},
"expansion": "Białynicki-Birula decomposition (plural Białynicki-Birula decompositions)",
"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": "Algebraic geometry",
"orig": "en:Algebraic geometry",
"parents": [],
"source": "w"
}
],
"examples": [
{
"bold_text_offsets": [
[
98,
130
]
],
"ref": "1984, Pacific Journal of Mathematics, volumes 114-115, page 149:",
"text": "The description depends on a partial ordering of the fixed point components which arises from the Białynicki-Birula decompositions of X.",
"type": "quote"
},
{
"bold_text_offsets": [
[
83,
114
]
],
"ref": "1988, Mathematica Scandinavica, volume 62, page 5:",
"text": "Section 2 describes a C*-action on Grassmann manifolds and gives the corresponding Białynicki-Birula decomposition.",
"type": "quote"
}
],
"glosses": [
"A T-stable cellular decomposition of a smooth T-variety."
],
"id": "en-Białynicki-Birula_decomposition-en-noun-Ma7zqw4G",
"links": [
[
"algebraic geometry",
"algebraic geometry"
],
[
"cellular",
"cellular"
],
[
"decomposition",
"decomposition"
],
[
"smooth",
"smooth"
],
[
"T-variety",
"T-variety"
]
],
"raw_glosses": [
"(algebraic geometry) A T-stable cellular decomposition of a smooth T-variety."
],
"topics": [
"algebraic-geometry",
"geometry",
"mathematics",
"sciences"
]
}
],
"word": "Białynicki-Birula decomposition"
}
{
"forms": [
{
"form": "Białynicki-Birula decompositions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"head": "Białynicki-Birula decomposition"
},
"expansion": "Białynicki-Birula decomposition (plural Białynicki-Birula decompositions)",
"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",
"English terms spelled with Ł",
"English terms with quotations",
"Pages with 1 entry",
"Pages with entries",
"en:Algebraic geometry"
],
"examples": [
{
"bold_text_offsets": [
[
98,
130
]
],
"ref": "1984, Pacific Journal of Mathematics, volumes 114-115, page 149:",
"text": "The description depends on a partial ordering of the fixed point components which arises from the Białynicki-Birula decompositions of X.",
"type": "quote"
},
{
"bold_text_offsets": [
[
83,
114
]
],
"ref": "1988, Mathematica Scandinavica, volume 62, page 5:",
"text": "Section 2 describes a C*-action on Grassmann manifolds and gives the corresponding Białynicki-Birula decomposition.",
"type": "quote"
}
],
"glosses": [
"A T-stable cellular decomposition of a smooth T-variety."
],
"links": [
[
"algebraic geometry",
"algebraic geometry"
],
[
"cellular",
"cellular"
],
[
"decomposition",
"decomposition"
],
[
"smooth",
"smooth"
],
[
"T-variety",
"T-variety"
]
],
"raw_glosses": [
"(algebraic geometry) A T-stable cellular decomposition of a smooth T-variety."
],
"topics": [
"algebraic-geometry",
"geometry",
"mathematics",
"sciences"
]
}
],
"word": "Białynicki-Birula decomposition"
}
Download raw JSONL data for Białynicki-Birula decomposition meaning in English (1.6kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-05-24 from the enwiktionary dump dated 2025-05-20 using wiktextract (5d527b9 and f1c2b61). 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.