Topos theory generalizes set theory using abstract frameworks. It defines mathematical structures across various contexts, offering a powerful lens for…
A monomorphism is a left-cancellable morphism in category theory. If f ∘ g = f ∘ h, then g =…
An epimorphism is a right-cancellable morphism in category theory, analogous to a surjective function in set theory. It plays a…
An endomorphism is a structure-preserving function mapping a mathematical object to itself. It's a fundamental concept in abstract algebra, category…
Categorical logic, rooted in category theory, explores object categorization and the logical underpinnings of categories. It provides a formal framework…