Last Updated:2025/11/23
Sentence
多くのデカルト閉圏では、指数対象 B^A は A から B への射の族を普遍的に索引する分類子として機能し、対象 X によって索引付けされた A→B の任意の射の族はこの指数対象を通して一意に因子分解される。
Quizzes for review
In many cartesian closed categories, the exponential object BA serves as a universal classifier for morphisms from A to B, so any family of arrows from A to B indexed by an object X factors uniquely through the exponential object.
See correct answer
In many cartesian closed categories, the exponential object BA serves as a universal classifier for morphisms from A to B, so any family of arrows from A to B indexed by an object X factors uniquely through the exponential object.
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Related words
exponential object
Noun
Japanese Meaning
(圏論)2つの対象間の射の族を普遍的な方法で索引付けする対象。つまり、同一の2対象間における他のどのような射の族も、一意にこの普遍的な射の族を通じて表現(因数分解)される。
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