See factor space in All languages combined, or Wiktionary
Download JSON data for factor space meaning in English (2.3kB)
{
"forms": [
{
"form": "factor spaces",
"tags": [
"plural"
]
}
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"args": {},
"expansion": "factor space (plural factor spaces)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Topology",
"orig": "en:Topology",
"parents": [
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"Sciences",
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],
"source": "w"
},
{
"_dis": "72 28",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
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"Entry maintenance"
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"source": "w+disamb"
}
],
"glosses": [
"A space obtained from another by identification of points that are equivalent to one another in some equivalence relation."
],
"id": "en-factor_space-en-noun-UY~i~J4n",
"links": [
[
"topology",
"topology"
],
[
"identification",
"identification"
],
[
"point",
"point"
],
[
"equivalent",
"equivalent"
],
[
"equivalence relation",
"equivalence relation"
]
],
"raw_glosses": [
"(topology, idiomatic) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation."
],
"synonyms": [
{
"_dis1": "78 22",
"sense": "space obtained by identification",
"word": "identification space"
},
{
"_dis1": "78 22",
"sense": "space obtained by identification",
"word": "quotient space"
}
],
"tags": [
"idiomatic"
],
"topics": [
"mathematics",
"sciences",
"topology"
]
},
{
"categories": [
{
"kind": "topical",
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"name": "Topology",
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"parents": [
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"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A space which is a factor (multiplicand) in a product space."
],
"id": "en-factor_space-en-noun-j1m4t2nM",
"links": [
[
"topology",
"topology"
],
[
"multiplicand",
"multiplicand"
],
[
"product",
"product"
]
],
"raw_glosses": [
"(topology, literally, relatively rare) A space which is a factor (multiplicand) in a product space."
],
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"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/f9/En-au-factor_space.ogg/En-au-factor_space.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/f/f9/En-au-factor_space.ogg",
"tags": [
"Australia"
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"text": "Audio (AU)"
}
],
"word": "factor space"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
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],
"forms": [
{
"form": "factor spaces",
"tags": [
"plural"
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"args": {},
"expansion": "factor space (plural factor spaces)",
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"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English idioms",
"en:Topology"
],
"glosses": [
"A space obtained from another by identification of points that are equivalent to one another in some equivalence relation."
],
"links": [
[
"topology",
"topology"
],
[
"identification",
"identification"
],
[
"point",
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"equivalent",
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[
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],
"raw_glosses": [
"(topology, idiomatic) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation."
],
"tags": [
"idiomatic"
],
"topics": [
"mathematics",
"sciences",
"topology"
]
},
{
"categories": [
"English terms with rare senses",
"en:Topology"
],
"glosses": [
"A space which is a factor (multiplicand) in a product space."
],
"links": [
[
"topology",
"topology"
],
[
"multiplicand",
"multiplicand"
],
[
"product",
"product"
]
],
"raw_glosses": [
"(topology, literally, relatively rare) A space which is a factor (multiplicand) in a product space."
],
"tags": [
"literally",
"rare"
],
"topics": [
"mathematics",
"sciences",
"topology"
]
}
],
"sounds": [
{
"audio": "en-au-factor space.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/f9/En-au-factor_space.ogg/En-au-factor_space.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/f/f9/En-au-factor_space.ogg",
"tags": [
"Australia"
],
"text": "Audio (AU)"
}
],
"synonyms": [
{
"sense": "space obtained by identification",
"word": "identification space"
},
{
"sense": "space obtained by identification",
"word": "quotient space"
}
],
"word": "factor space"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-24 from the enwiktionary dump dated 2024-04-21 using wiktextract (82c8ff9 and f4967a5). 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.