Topos theory studies categories resembling the category of sets, forming a foundation for mathematics. It enables generalized concepts of computation…
Topos theory generalizes set theory using abstract frameworks. It defines mathematical structures across various contexts, offering a powerful lens for…
A powerful logical system merging predicate logic with functors. It enhances the representation of properties and relations, offering greater expressiveness…
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…
Category theory is a branch of mathematics that abstracts algebraic structures and their relationships. It offers a unifying framework across…
A category is a fundamental structure in mathematics and logic, comprising objects and the relationships (morphisms) between them. It provides…
Categorical logic, rooted in category theory, explores object categorization and the logical underpinnings of categories. It provides a formal framework…