Category theory | Mathematical relations

Allegory (mathematics)

In the mathematical field of category theory, an allegory is a category that has some of the structure of the category Rel of sets and binary relations between them. Allegories can be used as an abstraction of categories of relations, and in this sense the theory of allegories is a generalization of relation algebra to relations between different sorts. Allegories are also useful in defining and investigating certain constructions in category theory, such as exact completions. In this article we adopt the convention that morphisms compose from right to left, so RS means "first do S, then do R". (Wikipedia).

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From playlist Science Unplugged: Mathematics

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From playlist Logic & Philosophy of Mathematics

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From playlist Science Unplugged: Mathematics

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From playlist Logic & Philosophy of Mathematics

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From playlist Celebration of Mind

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From playlist MathHistory: A course in the History of Mathematics

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From playlist Social & Political Philosophy

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From playlist CinemaPsych Podcast

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Related pages

Bicategory | Composition of relations | Converse relation | Intersection (set theory) | Span (category theory) | Subobject | Category of relations | Pullback (category theory) | Factorization system | Regular category | Binary relation | Equivalence class | Set (mathematics) | Function (mathematics) | Relation algebra | Union (set theory) | Category theory | Category (mathematics) | Morphism | Monomorphism | Subcategory | Distributive property