Last Updated
：2025/11/30
classifying morphism
Noun
Japanese Meaning
(圏論における) 対象からサブオブジェクト分類子への射のことで、その射を通して一意に定まる部分対象が、分類子の「真」を示すグローバル要素に対する引き戻しとして得られる。 / 対象のある部分対象を一意に特徴づけるために用いられる射として解釈される。
（ plural ）
Quizzes for review
(category theory) A morphism from an object to the subobject classifier which corresponds to a unique subobject of the said object, which subobject is the pullback, along this morphism, of the true
global element of the subobject classifier.
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classifying morphism
In any topos, a subobject is uniquely determined by its classifying morphism to the subobject classifier, and the subobject is the pullback, along this morphism, of the true
global element of the subobject classifier.
See correct answer
In any topos, a subobject is uniquely determined by its classifying morphism to the subobject classifier, and the subobject is the pullback, along this morphism, of the true
global element of the subobject classifier.
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