classifying morphism

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.

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Meanings

nounclassifying morphism (plural classifying morphisms)

plural classifying morphisms

  1. category theoryA 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.
Cite this entry
APA

classifying morphism. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/classifying%20morphism

MLA

“classifying morphism.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/classifying%20morphism. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “classifying morphism,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/classifying%20morphism.

Source: classifying morphism on Wiktionary, CC BY-SA 4.0.