From: Richard Garner <richard.garner@mq.edu.au>
To: Categories mailing list <categories@mta.ca>
Cc: JeanBenabou <jean.benabou@wanadoo.fr>
Subject: Re: Terminology of locally small categories without replacement
Date: Wed, 8 Dec 2010 09:22:08 +1100 [thread overview]
Message-ID: <E1PQA08-0006lQ-8k@mlist.mta.ca> (raw)
In-Reply-To: <E1PPwy9-0005H4-66@mlist.mta.ca>
Dear Jean,
> Could you please tell me:
> (i) Given a category S how does one chose the finitely complete 2-
> category K and the class C of small objects so that the locally small
> objects of K in your sense, are the locally small fibrations over S ?
Take K = Fib(S) and take C to be the representable fibrations. For me
this is actually the easiest way to remember the definition of locally
small fibration.
> (iii) What significant mathematical examples can you give of your
> notion ?
See (i).
Best regards,
Richard
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2010-12-07 22:22 UTC|newest]
Thread overview: 8+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-12-01 22:00 Colin McLarty
2010-12-02 14:01 ` Vaughan Pratt
2010-12-02 15:18 ` F. William Lawvere
2010-12-03 4:15 ` Michael Shulman
[not found] ` <E1PPwy9-0005H4-66@mlist.mta.ca>
2010-12-07 22:22 ` Richard Garner [this message]
[not found] ` <AANLkTi=N5Xdqz9FWKfy+n7cBmxvyxbeSxHNizHapQF_P@mail.gmail.com>
2010-12-08 0:11 ` JeanBenabou
[not found] ` <3280C591-6F02-454A-A1A4-FA8AC7FD0086@wanadoo.fr>
2010-12-08 0:48 ` Richard Garner
[not found] ` <E1PP22t-0001sv-8p@mlist.mta.ca>
[not found] ` <CC4A04DE-195B-4BDC-994F-5D40D00EAE44@wanadoo.fr>
2010-12-09 23:53 ` Ross Street
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