From: Steve Lack <steve.lack@mq.edu.au>
To: Paul Levy <pbl@cs.bham.ac.uk>
Cc: categories list <categories@mta.ca>
Subject: Re: theorem about ends
Date: Mon, 7 Feb 2011 14:00:16 +1100 [thread overview]
Message-ID: <E1PmV4N-0004Nd-07@mlist.mta.ca> (raw)
In-Reply-To: <E1PmGca-0001h5-C8@mlist.mta.ca>
Dear Paul,
This is (a special case of) Lemma 2.1 in
G.M. Kelly & Stephen Lack, Finite-product-preserving functors, Kan extensions, and strongly finitary 2-monads.
Applied Categorical Structures 1:85-94, 1993.
Steve.
On 07/02/2011, at 11:25 AM, Paul Levy wrote:
> Dear all,
>
> Does the following result (which I learnt from Rasmus Mogelberg)
> appear in the literature somewhere?
>
>
> Given categories C and D, a functor P : C^op x D --> Set and an
> adjunction F -| U : D --> C
>
> the end over c in C of P(c,Fc) is (isomorphic to) the end over d in D
> of P(Ud,d).
>
>
> Paul
>
>
> --
> Paul Blain Levy
> School of Computer Science, University of Birmingham
> +44 (0)121 414 4792
> http://www.cs.bham.ac.uk/~pbl
>
>
>
>
>
>
>
>
>
>
>
> [For admin and other information see: http://www.mta.ca/~cat-dist/ ]
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2011-02-07 3:00 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-02-07 0:25 Paul Levy
2011-02-07 3:00 ` Steve Lack [this message]
2011-02-07 4:35 ` Richard Garner
2011-02-07 11:26 ` Ross Street
2011-02-07 3:06 Fred E.J. Linton
[not found] <AANLkTikzK3ygOLMAUqm6WKWCrv7Ba8aBHugbpFrCWqMN@mail.gmail.com>
2011-02-07 5:04 ` Richard Garner
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