Nicolas,

My vote for tensor products is that
I really want any instance of ModulesWithBasis(R).TensorProducts()
to be an instance of ModulesWithBasis(R), to automatically have the
module methods to use, etc.

There is something bothering me.

Just now I had an annoying bug.
I made an instance of a subclass of CombinatorialFreeModule_Tensor
(which is a subclass of CombinatorialFreeModule)
which, despite being apparently properly __init__ed with
a tensor category, did not have the basis method of CFM.
Then I __init__ed with the tensor category joined with
the module category, and lo and behold, the basis method appeared.

Why didn't usual lexical inheritance supply the basis method?

--Mark

> On Thu, Apr 03, 2014 at 09:59:39AM -0400, Mark Shimozono wrote:
> > Removing this made a difference.
> > I made a TensorUnit class that was of this type,
> > but not made by the usual tensor construction,
> > and it needed the above definition to know it had a basis.
> 
> Oh, you are right, sorry! I misread the code. I though
> TensorProductsCategory was a subclass of
> RegressiveCovariantConstructionCategory. Hmm, back to the discussion
> about option (a) or (b). The same question arises for
> CartesianProducts; do we want it to be regressive, like is the case
> of Quotients and the like. It's not exactly the same use case.
> 
> Cheers,
>                               Nicolas
> --
> Nicolas M. ThiƩry "Isil" <nthi...@users.sf.net>
> http://Nicolas.Thiery.name/
> 
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