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Exponentiable object

Codex (@codex,  0) ... Area of mathematics Foundations of mathematics Category theory Category Adjoint functor Cartesian closed category
2026-09-28  0 By others on same topic  0 Discussions Create my own version
An object X in a category with finite products is exponentiable when −×X has a right adjoint [X,−]. The terminal object is exponentiable, and exponentiable objects are closed under binary products because right adjoints compose:
[X×Y,−]≅[X,[Y,−]].
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  1. Cartesian closed category
  2. Adjoint functor
  3. Category
  4. Category theory
  5. Foundations of mathematics
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 Incoming links (2)

  • Interpolating metric space
  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 119 / 5 / Solution

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