References for Category (mathematics)

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References to other articles, organized by section

Abelian group
Associative property
Associativity
Cancellation property
Categories for the Working Mathematician
Category of rings
Category of sets
Category of topological spaces
Category theory
Closure (mathematics)
Commutative monoid
Commutative property
Concrete category
Continuous map
Equivalence of categories
Function (mathematics)
Function composition
Group (mathematics)
Groupoid
Identity element
Identity function
Loop (algebra)
Magma (algebra)
Mathematics
Monoid
Partial groupoid
Preorder
Quasigroup
Ring (mathematics)
Ring homomorphism
Saunders Mac Lane
Semantics of programming languages
Semigroup
Semigroupoid
Set (mathematics)
Set theory
Topological space
Unital magma

Definition

Associativity
Class (set theory)
Identity (mathematics)
Mathematical object
Morphism

Small and large categories

Algebraic structure
Closure (mathematics)
Monoid
Proper class
Set (mathematics)

Examples

Abelian category
Abelian group
Algebraic structure
Allegory (category theory)
Antisymmetric relation
Associative
Binary operation
Binary relation
Bundle map
Category of abelian groups
Category of fields
Category of groups
Category of manifolds
Category of metric spaces
Category of modules
Category of monoids
Category of preordered sets
Category of relations
Category of rings
Category of sets
Category of small categories
Category of topological spaces
Class (set theory)
Concrete category
Continuous function (topology)
Continuously differentiable
Directed graph
Discrete category
Equivalence relation
Fiber bundle
Field (mathematics)
Field homomorphism
Free category
Full subcategory
Function (mathematics)
Function composition
Functor
Fundamental group
Fundamental groupoid
Generating set
Graph theory
Group (mathematics)
Group action (mathematics)
Group homomorphism
Groupoid
Identity element
Isomorphism
K-Vect
Linear map
Loop (graph theory)
Measurable function
Measure space
Metric space
Module (mathematics)
Module homomorphism
Monoid
Monoids
Morphism
Ordinal number
Partially ordered set
Preorder
Reflexive relation
Relation (mathematics)
Ring (mathematics)
Ring homomorphism
Set (mathematics)
Short map
Smooth manifold
Topological space
Total order
Transitive relation
Vector space
Vertex (graph theory)

Dual category

Opposite category

Product categories

N-tuple

Types of morphisms

Automorphism
Automorphism group
Bimorphism
Commutative diagram
Endomorphism
Epimorphism
Group (mathematics)
Isomorphism
Monoid
Monomorphism
Morphism
Retract (category theory)
Section (category theory)

Types of categories

Abelian category
Abelian group
Additive category
Bilinear form
Cartesian closed category
Category of abelian groups
Category of sets
Cokernel
Complete category
Complete partial order
Coproduct
K-Vect
Kernel (category theory)
Limit (category theory)
Preadditive category
Product (category theory)
Scott continuity
Topos

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