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Everything about Subobject classifier

Mathematical object in category theory

In the mathematical field of category theory, a subobject classifier is a special object of a category such that, informally, the subobjects of any object correspond to the morphisms from to. This provides an analogue of the set of Booleans in categories other than the category of sets. Wikipedia →

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  1. Read the overview: Subobject classifierA 5-minute orientation
  2. Read the landmark paper: Subobject classifier for algebraic structuresCited 5 times
  3. Go sideways: SubobjectA closely related topic
  4. Go sideways: Lawvere–Tierney topologyA closely related topic

📖 Definitions

Noun An object which serves as the codomain of a classifying morphism, together with a "true" global element of the said object.

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