From: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>
To: "Jean Bénabou" <jean.benabou@wanadoo.fr>
Cc: Categories <categories@mta.ca>
Subject: Re: Terminology
Date: Sun, 28 Apr 2013 16:17:11 +0200 [thread overview]
Message-ID: <E1UWZu5-0006xa-VT@mlist.mta.ca> (raw)
In-Reply-To: <557435A6-4568-4012-8C63-E031931F41FB@wanadoo.fr>
Dear Jean,
> What would you call a category X such that the functor X --> 1 is
> full and faithful? Please don't tell me what they are, I know that.
Sticking to the pattern I suggested I'd call it "essentially subterminal".
> Non evil is essentially evil.
> I rather like this conclusion, don't you?
Of course, that's brilliant dialectics! I'd expect the people abhoring evilness
would say that full and faithful and essentially surjective is an "evil" notion
of equivalence as opposed to the "good" one of adjoint pair where unit and
counit are isos. The latter makes sense in any 2-category whereas the former
doesn't. However, often you just get the "evil" version when not having
a strong form of AC (for classes) available. That's why your dialectics
definitely applies!
Best regards, Thomas
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2013-04-28 14:17 UTC|newest]
Thread overview: 64+ messages / expand[flat|nested] mbox.gz Atom feed top
2013-04-24 17:13 Terminology Jean Bénabou
2013-04-24 23:04 ` Terminology David Roberts
2013-04-27 13:08 ` Terminology Thomas Streicher
[not found] ` <20130427130857.GC16801@mathematik.tu-darmstadt.de>
2013-04-28 3:49 ` Terminology Jean Bénabou
2013-04-28 22:47 ` Terminology Olivier Gerard
[not found] ` <557435A6-4568-4012-8C63-E031931F41FB@wanadoo.fr>
2013-04-28 14:17 ` Thomas Streicher [this message]
2013-04-29 20:05 ` Terminology Toby Bartels
2013-04-30 0:58 ` Terminology Peter May
-- strict thread matches above, loose matches on Subject: below --
2017-02-11 20:42 Terminology Fred E.J. Linton
2017-02-14 8:48 ` Terminology Steve Vickers
[not found] ` <02568D97-0A72-4CA8-8900-BDE11E890890@cs.bham.ac.uk>
2017-02-14 9:39 ` Terminology Jean Benabou
2017-02-09 22:03 Terminology Andrée Ehresmann
2017-02-08 8:03 Terminology Jean Benabou
2017-02-08 16:34 ` Terminology Jirí Adámek
2017-02-10 1:42 ` Terminology George Janelidze
2017-02-08 21:40 ` Terminology Carsten Führmann
2017-02-09 11:31 ` Terminology Thomas Streicher
[not found] ` <20170208180636.18346065.28939.42961@rbccm.com>
2017-02-09 16:38 ` Terminology Jean Benabou
2017-02-11 15:07 ` Terminology Steve Vickers
2013-05-02 3:57 Terminology Fred E.J. Linton
2013-05-03 11:53 ` Terminology Robert Dawson
2013-05-02 3:57 Terminology Fred E.J. Linton
2013-04-30 1:20 Terminology Fred E.J. Linton
2010-09-29 2:03 terminology Todd Trimble
2010-09-28 4:38 terminology Eduardo J. Dubuc
2010-05-27 18:31 terminology Colin McLarty
2010-05-19 10:38 Re terminology: Ronnie Brown
2010-05-20 7:58 ` soloviev
2010-05-20 19:53 ` terminology Eduardo J. Dubuc
[not found] ` <AANLkTikre9x4Qikw0mqOl1qZs9DDSkcBu3CXWA05OTQT@mail.gmail.com>
2010-05-21 17:00 ` Re terminology: Ronnie Brown
[not found] ` <B3C24EA955FF0C4EA14658997CD3E25E370F5827@CAHIER.gst.uqam.ca>
2010-05-22 21:43 ` terminology Ronnie Brown
[not found] ` <4BF84FF3.7060806@btinternet.com>
2010-05-22 22:44 ` terminology Joyal, André
2010-05-23 15:39 ` terminology Colin McLarty
2010-05-24 18:04 ` terminology Vaughan Pratt
2010-05-26 3:08 ` terminology Toby Bartels
2010-05-25 14:08 ` terminology John Baez
2010-05-26 8:03 ` terminology Reinhard Boerger
2010-05-25 19:39 ` terminology Colin McLarty
2010-05-29 21:47 ` terminology Toby Bartels
2010-05-30 19:15 ` terminology Thorsten Altenkirch
[not found] ` <A46C7965-B4E7-42E6-AE97-6C1D930AC878@cs.nott.ac.uk>
2010-05-30 20:51 ` terminology Toby Bartels
2010-06-01 7:39 ` terminology Thorsten Altenkirch
2010-06-01 13:33 ` terminology Peter LeFanu Lumsdaine
[not found] ` <7BF50141-7775-4D3C-A4AF-D543891666B9@cs.nott.ac.uk>
2010-06-01 18:22 ` terminology Toby Bartels
[not found] ` <AANLkTilG69hcX7ZV8zrLpQ_nf1pCmyktsnuE0RyJtQYF@mail.gmail.com>
2010-05-26 8:28 ` terminology John Baez
2010-05-16 12:44 terminology Peter Selinger
2010-05-13 17:17 bilax_monoidal_functors Michael Shulman
2010-05-14 14:43 ` terminology (was: bilax_monoidal_functors) Peter Selinger
2010-05-15 19:52 ` terminology Toby Bartels
2010-05-08 3:27 RE : bilax monoidal functors John Baez
2010-05-10 18:16 ` bilax_monoidal_functors?= John Baez
2010-05-11 8:28 ` bilax_monoidal_functors?= Michael Batanin
2010-05-12 3:02 ` bilax_monoidal_functors?= Toby Bartels
2010-05-13 23:09 ` bilax_monoidal_functors?= Michael Batanin
2010-05-15 16:05 ` terminology Joyal, André
2007-01-27 17:06 terminology wlawvere
2007-01-26 23:30 terminology Eduardo Dubuc
2005-12-30 1:16 terminology vs27
2005-12-29 19:09 terminology Nikita Danilov
2005-12-10 3:51 Terminology jean benabou
2005-12-21 20:04 ` Terminology Eduardo Dubuc
2005-12-26 19:47 ` terminology Vaughan Pratt
2005-12-29 23:17 ` terminology Eduardo Dubuc
2006-01-04 14:59 ` terminology Eduardo Dubuc
2003-10-17 15:19 terminology Marco Grandis
2003-10-16 21:39 terminology James Stasheff
2001-04-09 11:06 Terminology Krzysztof Worytkiewicz
2000-12-14 6:17 Terminology Max Kelly
[not found] <3a35cdd73a39f901@amyris.wanadoo.fr>
2000-12-13 11:10 ` Terminology Dr. P.T. Johnstone
2000-12-13 1:17 Terminology Steve Lack
2000-12-12 8:19 Terminology Jean Benabou
2000-01-28 12:02 terminology James Stasheff
2000-01-28 9:57 terminology Marco Grandis
2000-01-27 19:28 terminology James Stasheff
2000-01-27 21:04 ` terminology Paul Glenn
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