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From: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>
To: claudio pisani <pisclau@yahoo.it>, categories@mta.ca
Subject: Re: Question on adjoints
Date: Mon, 30 Nov 2009 12:34:46 +0100	[thread overview]
Message-ID: <E1NF61q-0006IY-7b@mailserv.mta.ca> (raw)
In-Reply-To: <E1NBL2n-0007dd-9S@mailserv.mta.ca>

Dear Claudio,

> If F is left adjoint to G : D --> C and there is a natural isomorphism
> FG --> 1_D (not necessarily the counit), then G is full and faithful.

A proof of the (dual) claim you find as the proof of Lemma 8.1 of my course
on basic category theory

      www.mathematik.tu-darmstadt.de/~streicher/CTCL.pdf.gz

on p.45.

Thomas


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


  parent reply	other threads:[~2009-11-30 11:34 UTC|newest]

Thread overview: 4+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2009-11-19 23:25 claudio pisani
2009-11-28 10:59 ` Ross Street
2009-11-30 11:34 ` Thomas Streicher [this message]
2009-11-23  7:04 Steve Lack

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