Category
page 1Categories in category theory
category of sets
category in mathematics where the objects are sets and the morphisms are the total functions between the sets
category of groups
category of groups and group homomorphisms
comma category
mathematics construct
functor category
category containing functors with natural transformations as morphisms
category of topological spaces
category whose objects are topological spaces and whose morphisms are continuous maps
pointed space
topological space with a distinguished point
monoid object
monoid in certain category-theoretic category
category of abelian groups
category in mathematics
simplex category
small category, whose objects are sets of natural numbers of the form {0,1,…,n}, and whose morphisms are nondecreasing functions
derived category
homotopy category of chain complexes in an abelian category with inverses to quasi-isomorphisms adjoined
category of rings
category of rings and ring homomorphisms
category of modules
category in mathematics
category of relations
category of sets and relations
graded vector space
algebraic structure that is easily decomposable into subspaces
discrete category
category whose only arrows are identity arrows
Kleisli category
Category theory
category of small categories
category whose objects are all small categories and whose morphisms are functors between categories
category of preordered sets
concept in set theory
category of metric spaces
mathematical category with metric spaces as its objects and distance-non-increasing maps as its morphisms