Octocurious

Home

❯

Cartesian Closed Category

Cartesian Closed Category

15 Apr 20261 min read

A category C is cartesian closed if,

  1. (C,1,⊗) is a monoidal category, for some 1,⊗ .
  2. 1 is a terminal object.
  3. The category has internal hom objects.
    1 gives us a monoidal category,
    1+2 gives us a cartesian category,
    1+3 gives us a closed category, and
    1+2+3 gives a cartesian closed category

Graph View

Backlinks

  • Category Theory
  • Locally Cartesian Closed Category
  • Set (Category)
  • loregian2023-coend-calculus

Created with Quartz v4.5.2 © 2026

  • GitHub
  • Discord Community