From: Joachim Kock <kock@mat.uab.cat>
To: categories@mta.ca
Subject: Re: unital weak functor?
Date: Fri, 21 Sep 2007 01:23:42 +0200 [thread overview]
Message-ID: <E1IYm6y-00017J-54@mailserv.mta.ca> (raw)
>Josh Nichols-Barrer wrote:
>
>>Is there a name for a weak functor between bicategories which takes
>>identity 1-morphisms to identity 1-morphisms?
The term 'normalised' (already mentioned in the replies) goes back at
least to Grothendieck, SGA1, Exp VI: he calls a cleavage for a fibred
category E -> B normalised if the cartesian lift of each identity arrow
is an identity arrow -- this is exactly the condition for the
correponding pseudo-functor B^op -> Cat to preserve identity arrows
strictly.
Joachim.
next reply other threads:[~2007-09-20 23:23 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2007-09-20 23:23 Joachim Kock [this message]
-- strict thread matches above, loose matches on Subject: below --
2007-09-20 21:20 John Baez
2007-09-20 16:01 John Baez
2007-09-19 21:03 Stephen Lack
2007-09-19 19:30 Robin Houston
2007-09-19 0:58 Josh Nichols-Barrer
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