Re: A brief survey of cartesian functors

["Jean Bénabou" <jean.benabou@wanadoo.fr>]

Dear George, 

As i mentioned in my mail, it took me many years to develop foliated categories AND cartesian functors to their full extent. The very first approach starts circa 1984 when I had proved important results on cartesian functors between fibered categories and started wondering about possible generalizations.
Thank you for sending me the paper of Cassidy, Herbert and Kelly which I do not know. I shall look at it carefully, but I doubt very much that it will have ANYTHING to do with foliated categories, let alone cartesian functors which are the essential content of my mail.
I shall explain why after I have read the paper you are sending me.

Best regards to all,
Jean


Le 28 juil. 2014 à 12:52, George Janelidze a écrit :

> Dear Jean,
> 
> I remember you talking about foliations more than 20 years ago, but when exactly is this done? Long before?
> 
> No matter what was done first, I think it would nice to compare this carefully with the results of
> 
> [C. Cassidy, M. Hébert, and G. M. Kelly, Reflective subcategories, localizations, and factorization systems, Journal of Australian Mathematical Society (Series A), 1985, 287-329].
> 
> The seemingly big difference is that the above-mentioned paper is about reflections, but in fact having the right adjoint is a much weaker restriction than it seems (in this context).
> 
> Since we don't sent attachments to Categories mailing list, I shall send you that paper separately.
> 
> With best regards to all,
> George
> 

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