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Category theory
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Category theory
Revision as of 20:27, 27 September 2020 by
wikipedia>Izno
(rm non-specific and non-Wikipedia below links)
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Category theory
Key concepts
Key concepts
Category
Adjoint functors
CCC
Commutative diagram
Concrete category
End
Exponential
Functor
Kan extension
Morphism
Natural transformation
Universal property
Universal constructions
Limits
Terminal objects
Products
Equalizers
Kernels
Pullbacks
Inverse limit
Colimits
Initial objects
Coproducts
Coequalizers
Cokernels and quotients
Pushout
Direct limit
Algebraic categories
Sets
Relations
Magmas
Groups
Abelian groups
Rings
(
Fields
)
Modules
(
Vector spaces
)
Constructions on categories
Free category
Functor category
Kleisli category
Opposite category
Quotient category
Product category
Comma category
Subcategory
Higher category theory
Key concepts
Categorification
Enriched category
Higher-dimensional algebra
Homotopy hypothesis
Model category
Simplex category
String diagram
Topos
n-categories
Weak
n
-categories
Bicategory
(
pseudofunctor
)
Tricategory
Tetracategory
Kan complex
∞-groupoid
∞-topos
Strict
n
-categories
2-category
(
2-functor
)
3-category
Categorified
concepts
2-group
2-ring
E
n
-ring
(
Traced
)(
Symmetric
)
monoidal category
n-group
n-monoid
Category
Outline
Glossary
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:
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