Cartesian morphism
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In mathematics, in particular category theory, given a functor
- p:E→C
from a category E to a category C, a morphism
- f : X → Y
in E is cartesian (with respect to p) when for each object Z of E and each morphism
- γ : pZ → pX
in C, the function
- f · — : Eγ(Z, X) → Epf · γ(Z,Y)
taking g to f · g is an isomorphism.