Re: A brief survey of cartesian functors

["Eduardo J. Dubuc" <edubuc@dm.uba.ar>]

Dear Jean, this mail is a valuable contribution to the subject.
Concerning your last comments about crediting it, I suggest you put  a
title like "Comments on fibrations and foliations" or any other of the
sort, and you upload it to the arXiv. In this way, it will have a wider
distribution (its interest is not limited to this list) and even it will
be possible to put it in the references of any paper and book if the
author has a fair perception of your contributions.

best regards  e.d.

On 28/07/14 06:54, Jean B?nabou wrote:
> Dear Ross, Dear all,
>
> In a recent mail I asked Ross if pseudo cartesian functors between
> pseudo fibrations had been studied. There are many generalizations of
> fibrations. Pseudo fibrations are only one of them. But there are
> also prefibrations, defined by Grothendieck, but almost never
> considered, and pre foliations, which I  define here, which
> generalise greatly pre fibrations. For such pre foliatons, I define
> cartesian functors  and show that they have striking properties, most
> of which are not known, even in the very special case of fibrations.
> I thought this brief survey might interest you, in case you decide to
> study seriously the properties of pseudo cartesian functors.
>
> Best regards to all, Jean
>

...

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