categories - Category Theory list
 help / color / mirror / Atom feed
From: Michael Shulman <shulman@math.uchicago.edu>
To: claudio pisani <pisclau@yahoo.it>
Subject: Re:  no fundamental theorems please
Date: Fri, 26 Jun 2009 08:51:11 -0500	[thread overview]
Message-ID: <E1MKSFJ-00026J-Di@mailserv.mta.ca> (raw)

On Wed, Jun 24, 2009 at 8:52 AM, claudio pisani<pisclau@yahoo.it> wrote:
> Of course, the proof that the object x:1->X (of Cat/X) has the slice
>  X/x -> X as a reflection in df/X (and its final object as
> reflecton map) is essentially the same of that of the standard
> Yoneda lemma, and the general case only requires a little more
> effort.

This is indeed a very nice statement of the ordinary Yoneda lemma, but
it doesn't seem capable of capturing all incarnations of the Yoneda
lemma, such as that in enriched category theory.

Mike


[For admin and other information see: http://www.mta.ca/~cat-dist/ ]


             reply	other threads:[~2009-06-26 13:51 UTC|newest]

Thread overview: 9+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2009-06-26 13:51 Michael Shulman [this message]
  -- strict thread matches above, loose matches on Subject: below --
2009-06-24 15:17 Steve Vickers
2009-06-24 13:52 claudio pisani
2009-06-23 18:58 Vaughan Pratt
2009-06-23 14:47 Andrej Bauer
2009-06-23 11:46 Michael Barr
2009-06-23  9:28 Martin Escardo
2009-06-23  9:27 Miles Gould
2009-06-22 21:07 Paul Taylor

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=E1MKSFJ-00026J-Di@mailserv.mta.ca \
    --to=shulman@math.uchicago.edu \
    --cc=pisclau@yahoo.it \
    /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).