Last Updated
:2025/11/27
slice category
Noun
Japanese Meaning
(圏論における)スライス圏: 与えられた圏内である固定された対象(共通の余対象)を持つ射を対象とし、これらの射同士のモーフィズムは、その共通の余対象を保持するような可換三角形として定義される圏。
( plural )
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(category theory) A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain.
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slice category
To study morphisms into an object X, one often works in the slice category C/X, where objects are arrows with codomain X.
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To study morphisms into an object X, one often works in the slice category C/X, where objects are arrows with codomain X.
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