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Classifying morphism
Noun
Definitions
1.
Noun
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.
Synonyms
subobject classifier
subobject
morphism
global element
fibre
small category
universal morphism
subset classifier
slice category
morphism set
fiber
generalized element
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