From: "Fred E.J. Linton" <fejlinton@usa.net>
To: "categories" <categories@mta.ca>
Subject: Re: theorem about ends
Date: Sun, 06 Feb 2011 22:06:32 -0500 [thread overview]
Message-ID: <E1PmV4p-0004OE-Tf@mlist.mta.ca> (raw)
Paul Blain Levy asks:
> 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).
For well over 40 years I've always thought of that as
the Beck/Lawvere vision of what an adjunction *is* :-) .
Cheers, -- Fred
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2011-02-07 3:06 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-02-07 3:06 Fred E.J. Linton [this message]
[not found] <AANLkTikzK3ygOLMAUqm6WKWCrv7Ba8aBHugbpFrCWqMN@mail.gmail.com>
2011-02-07 5:04 ` Richard Garner
-- strict thread matches above, loose matches on Subject: below --
2011-02-07 0:25 Paul Levy
2011-02-07 3:00 ` Steve Lack
2011-02-07 4:35 ` Richard Garner
2011-02-07 11:26 ` Ross Street
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