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- Semigroupoid
- Bicategory
- Graded category
- Connected category
- Pulation square
- Category of small categories
- Autonomous category
- Tricategory
- Template:Categorytheory-stub
- Leray's theorem
- Dinatural transformation
- Categorical set theory
- N-monoid
- Essentially surjective functor
- Product category
- Diagonal morphism
- Diagonal functor
- PROP (category theory)
- Dual object
- Distributive category
- Category of finite-dimensional Hilbert spaces
- Tetracategory
- Weak n-category
- Distributive law between monads
- Traced monoidal category
- Well-pointed category
- Generator (category theory)
- Category of manifolds
- Polyad
- Dialectica space
- N-category number
- Quantaloid
- J. Peter May
- Global element
- Sketch (mathematics)
- Stone functor
- Amnestic functor
- Weak inverse
- Isbell duality
- Freyd cover
- AB5 category
- Cyclic category
- Internal category
- Polygraph (mathematics)
- Dominant functor
- Preradical
- Finitely generated object
- Adhesive category
- Dold–Kan correspondence
- Classifying topos
