In mathematics, a pseudofunctor F is a mapping between 2categories, or from a category to a 2category, that is just like a functor except that and do not hold as exact equalities but only up to coherent isomorphisms.
The Grothendieck construction associates to a pseudofunctor a fibered category.
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See also
 Lax functor
 Prestack (an example of pseudofunctor)
 Fibered category
References
External links