[Agda] Proposed minor additions to standard library
Dan Licata
drl at cs.cmu.edu
Tue Sep 14 14:41:58 CEST 2010
On Sep14, Nils Anders Danielsson wrote:
> > 2) Creating a module for ExpFunctors -- that is, invariant
> > functors which can take you between F A to F B if you have
> > maps (A -> B) and (B -> A).
>
> Is ExpFunctor an established name? It seems as if this construction
> should be a special case of something else.
It's just a functor, but the domain category is different: a map is a
function in each direction.
Objects: types A, B, ...
Morphism from A to B: a pair A -> B and B -> A
If you required them to be mutually inverse, it would be the category of
sets and isomorphisms.
-Dan
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