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From: "George Janelidze" <janelg@telkomsa.net>
To: "categories net" <categories@mta.ca>,
Subject: Re: Terminology
Date: Fri, 10 Feb 2017 03:42:15 +0200	[thread overview]
Message-ID: <E1ccGKw-0000my-Pu@mlist.mta.ca> (raw)
In-Reply-To: <E1cbppM-0007vK-Ui@mlist.mta.ca>

Dear Jean and Jiri,

As we know there is no such notion accepted by everybody. I would probably
vote for

faithful + amnestic + iso-fibration.

Best regards, George

--------------------------------------------------
From: "Jir? Ad?mek" <j.adamek@tu-bs.de>
Sent: Wednesday, February 8, 2017 6:34 PM
To: "categories net" <categories@mta.ca>
Subject: categories: Re: Terminology

> Dear Jean,
>
> The simplest answer is: faithful. But a better one (in view of
> `everything up to isomorphism') is: faithful and amnestic. The latter
> means that p reflects identity morphisms: an isomorphism in S is an
> identity if its image by p is. See The Joy of Cats (free on the web).
>
> Best, Jiri
>
>> QUESTION
>> Let  p: S --> X  be a functor. What conditions should satisfy p to be
>> called a structure functor, i.e. such that every object  s of S can be
>> thought of as a structure on the object  p(s).
>


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  reply	other threads:[~2017-02-10  1:42 UTC|newest]

Thread overview: 64+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2017-02-08  8:03 Terminology Jean Benabou
2017-02-08 16:34 ` Terminology Jirí Adámek
2017-02-10  1:42   ` George Janelidze [this message]
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
  -- 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
2013-05-02  3:57 Terminology Fred E.J. Linton
2013-05-02  3:57 Terminology Fred E.J. Linton
2013-05-03 11:53 ` Terminology Robert Dawson
2013-04-30  1:20 Terminology Fred E.J. Linton
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   ` Terminology Thomas Streicher
2013-04-29 20:05     ` Terminology Toby Bartels
2013-04-30  0:58       ` Terminology Peter May
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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