From: Matias del Hoyo <mdelhoyo@dm.uba.ar>
To: categories@mta.ca
Subject: question concerning lax functors
Date: Sat, 12 Dec 2009 18:19:40 -0300 [thread overview]
Message-ID: <E1NJx7f-0004GE-Go@mailserv.mta.ca> (raw)
Hi, I'm Matias del Hoyo from Buenos Aires and I wonder if someone
could help me by giving some reference about the following.
If 2Cat is the category of (strict) 2-categories and (strict)
2-functors, and Lax is the category of (strict) 2-categories and
(normal) lax functors, then I guess that the inclusion 2cat --> Lax
admits a left adjoint, namely for a 2-category C there is another FC
and a lax functor i:C --> FC such that for every lax functor v:C --> D
there exists a unique 2-functor u:FC --> D satisfying v=ui.
In my thesis I constructed FC in the case C is a category (2-category
with trivial 2-cells) by using subdivision of small categories. This
was enough for my purpose (a version of Quillen's Thm A for lax
functors), but the general case might be of interest and it should be
well known.
Thanks in advance!
Matias del Hoyo
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
reply other threads:[~2009-12-12 21:19 UTC|newest]
Thread overview: [no followups] expand[flat|nested] mbox.gz Atom feed
Reply instructions:
You may reply publicly to this message via plain-text email
using any one of the following methods:
* Save the following mbox file, import it into your mail client,
and reply-to-all from there: mbox
Avoid top-posting and favor interleaved quoting:
https://en.wikipedia.org/wiki/Posting_style#Interleaved_style
* Reply using the --to, --cc, and --in-reply-to
switches of git-send-email(1):
git send-email \
--in-reply-to=E1NJx7f-0004GE-Go@mailserv.mta.ca \
--to=mdelhoyo@dm.uba.ar \
--cc=categories@mta.ca \
/path/to/YOUR_REPLY
https://kernel.org/pub/software/scm/git/docs/git-send-email.html
* If your mail client supports setting the In-Reply-To header
via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line
before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).