Hi Nicolas,

On 2016-08-28, Nicolas M. Thiery <nicolas.thi...@u-psud.fr> wrote:
>>    Alternatively:
>>    Category of  enumerable X
>
> This one would be harder to implement (no different from the more
> natural "Category of enumerated X"), as we would need to do something
> specific for joins with an enumerated set.

If a category "knows" that it is implementing an axiom, then it should
also know an adjective that decribes its axiom, and the _repr_ method of
join categories could (I guess) relatively easily detect which of its
axioms apply to what other categories, avoiding repititions. Hence, if
you join the category of rings and the category of modules and apply
"enumerated" and "commutative" axioms, the result would print as
"join of category of enumerated modules and commutative rings" or so.

But that's bike shedding, after all...
Cheers,
Simon

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