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Template:Category theory

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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
A simple triangular commutative diagram
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
    • En-ring
    • (Traced)(Symmetric) monoidal category
    • n-group
    • n-monoid
    • Category
    • Outline
    • Glossary
    Template documentation[view] [edit] [history] [purge]

    Usage

    This is a simple navigation template based on {{navbox}}.

    To use, copy and paste {{Category theory}} at the bottom of an article.

    The template is suitable for transcluding at the bottom of articles related to Category theory.

    Initial visibility: currently defaults to autocollapse

    To set this template's initial visibility, the |state= parameter may be used:

    • |state=collapsed: {{Category theory|state=collapsed}} to show the template collapsed, i.e., hidden apart from its title bar
    • |state=expanded: {{Category theory|state=expanded}} to show the template expanded, i.e., fully visible
    • |state=autocollapse: {{Category theory|state=autocollapse}}
      • shows the template collapsed to the title bar if there is a {{navbar}}, a {{sidebar}}, or some other table on the page with the collapsible attribute
      • shows the template in its expanded state if there are no other collapsible items on the page

    If the |state= parameter in the template on this page is not set, the template's initial visibility is taken from the |default= parameter in the Collapsible option template. For the template on this page, that currently evaluates to autocollapse.

    The above documentation is transcluded from Template:Category theory/doc. (edit | history)
    Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages.
    Add categories to the /doc subpage. Subpages of this template.
    Retrieved from "https://moasspedia.org/w/index.php?title=Template:Category_theory&oldid=7422"
    Categories:
    • Navboxes using background colours
    • Mathematics navigational boxes
    Last edited on 27 September 2020, at 09:57

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    • This page was last edited on 27 September 2020, at 09:57.
    • Content is available under Creative Commons Attribution-ShareAlike unless otherwise noted.
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