From: "Jonathan CHICHE 齐正航" <jonathan.chiche@polytechnique.edu>
To: Hasse Riemann <rafaelb77@hotmail.com>, <categories@mta.ca>
Subject: Re: Smooth and proper functors
Date: Thu, 16 Apr 2009 15:46:53 +0200 [thread overview]
Message-ID: <E1LuSIC-0000QJ-3b@mailserv.mta.ca> (raw)
Hi,
The following paper is very clear, I'm currently learning the basics
of the subject with it: http://people.math.jussieu.fr/~maltsin/ps/
asphbl.ps. It's written in French. Another member of this mailing-
list has asked me to translate it in English, I may be able to send
you a rough translation in a few weeks.
Best,
Jonathan
Le 15 avr. 09 à 15:45, Hasse Riemann a écrit :
> Hi category gurus and categorists
>
>
>
> I have many questions about category theory but i start with one.
>
>
>
> 1>
>
> What are smooth functors and proper functors, originating in
> pursuing stacks?
>
> Both nontechnically and technicaly.
>
>
>
> I know they are dual to each other and that they are characterized
> by cohomological properties
>
> inspired by the proper or smooth base change theorem in algebraic
> geometry, but what is the relation?
>
> (I don't know the statement of the theorems)
>
>
>
> Finally, what are smooth and proper functors good for?
>
> Are smooth and proper functors fibrations and cofibrations or
> Grothendieck fibrations and
>
> Grothendieck op-fibrations in some model categories or derivators?
>
>
>
> The only thing i could find about smooth and proper functors on
> internet is the last entrance in
> http://golem.ph.utexas.edu/category/2008/01/
> geometric_representation_theor_18.html
>
>
>
> Best regards
>
> Rafael Borowiecki
next reply other threads:[~2009-04-16 13:46 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-04-16 13:46 Jonathan CHICHE 齐正航 [this message]
-- strict thread matches above, loose matches on Subject: below --
2009-04-15 18:44 Andreas Holmstrom
2009-04-15 13:45 Hasse Riemann
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