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From: Hasse Riemann <rafaelb77@hotmail.com>
To: <categories@mta.ca>
Subject: Smooth and proper functors
Date: Wed, 15 Apr 2009 13:45:06 +0000	[thread overview]
Message-ID: <E1Lu9HX-0006fq-Of@mailserv.mta.ca> (raw)


 

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




             reply	other threads:[~2009-04-15 13:45 UTC|newest]

Thread overview: 3+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2009-04-15 13:45 Hasse Riemann [this message]
2009-04-15 18:44 Andreas Holmstrom
2009-04-16 13:46 Jonathan CHICHE 齐正航

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