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Articles containing 'Category theory'.

1. Category theory
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>General theory of mathematical structures

2. Monad (category theory)

>Operation in algebra and mathematics

3. Applied category theory

>Applications of category theory

4. Higher category theory

>Generalization of category theory

5. Category (mathematics)
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>Mathematical object that generalizes the standard notions of sets and functions

6. Kernel (category theory)

>Generalization of the kernel of a homomorphism

7. Product (category theory)

>Generalized object in category theory

8. Pullback (category theory)

>Most general completion of a commutative square given two morphisms with same codomain

9. Limit (category theory)

>Mathematical concept

10. Monoid (category theory)
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>In category theory, a branch of mathematics, a monoid (or monoid object, or internal monoid, or algebra) (M, μ, η) in a monoidal category (C, ⊗, I) is...

11. Dual (category theory)

>Correspondence between properties of a category and its opposite

12. Theory of categories

>In ontology, the highest kinds or genera of entities

13. Cone (category theory)

>In category theory, a branch of mathematics, the cone of a functor is an abstract notion used to define the limit of that functor. Cones make other appearances...

14. Presheaf (category theory)

>Functor from a category's opposite category to Set

15. Pushout (category theory)

>Most general completion of a commutative square given two morphisms with same domain

16. Section (category theory)
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>In category theory, a branch of mathematics, a section is a right inverse of some morphism. Dually, a retraction is a left inverse of some morphism. In...

17. Outline of category theory

>Overview of and topical guide to category theory

18. Image (category theory)

>In category theory, a branch of mathematics, the image of a morphism is a generalization of the image of a function. Given a category C {\displaystyle...

19. Nerve (category theory)

>Simplicial set constructed from the objects and morphisms of a small category

20. Diagram (category theory)

>Indexed collection of objects and morphisms in a category

21. Glossary of category theory

>Mathematics glossary

22. Skeleton (category theory)

>Mathematical construction in category theory

23. Normal morphism

>Bankli

24. Functor

>Mapping between categories

25. Category of sets

>Category in mathematics where the objects are sets


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