e/Limit (category theory)

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has glosseng: In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint unions, direct sums, coproducts, pushouts and direct limits.
lexicalizationeng: limit
instance ofc/Limits in categories
Meaning
Korean
has glosskor: 수학의 한 분야인 범주론에서 극한(limit)은 수학의 여러 분야에서 사용되는 보편적 구조물들(예로서 곱이나 역극한 등)이 갖는 공통된 성질을 보존하며 일반화시킨 추상적인 개념이다. 그 쌍대 개념인 차극한(colimit)은 서로소 합집합이나 직합 등의 일반화이다. 극한과 차극한은 보편 사상 및 수반 펑터 등의 범주론적 개념과 밀접한 연관이 있다.
lexicalizationkor: 극한
Dutch
has glossnld: In de categorietheorie, een abstract deelgebied van de wiskunde, vangt de abstracte notie van een limiet de essentiële eigenschappen van universele constructies zoals producten en inverse limieten. De duale notie van een colimiet veralgemeent constructies zoals disjuncte verenigingen, directe sommen, coproducten, pushouts en directe limieten.
lexicalizationnld: limiet
Russian
has glossrus: В теории категорий пре́дел диагра́ммы — это конструкция, обобщающая многие универсальные диаграммы самой теории категорий.
lexicalizationrus: предел
Castilian
lexicalizationspa: Limite
lexicalizationspa: límite
Media
media:imgCategoricalPullback-01.png
media:imgFunctor co-cone (extended).svg
media:imgFunctor cone (extended).svg
media:imgLimitefuntor.png

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