From: Toby Bartels <toby+categories@ugcs.caltech.edu>
To: categories@mta.ca
Subject: Re: "injective" terminology
Date: Fri, 21 May 2010 09:35:48 -0700 [thread overview]
Message-ID: <E1OFqGj-0002LH-4R@mailserv.mta.ca> (raw)
In-Reply-To: <E1OFT8M-0003Mu-A4@mailserv.mta.ca>
The term "projective limit" contrasts with "inductive limit",
so I have sometimes felt like saying "inductive object".
However, I've never actually done so; besides having no precedent,
the term "inductive object" already has an established meaning:
an inductive object is an initial algebra of a polynomial endofunctor.
(Example: A natural-numbers object is an initial algebra of X + 1.
The dual to this concept is unimaginatively called "coinductive".)
This is used in logic and computer science.
--Toby
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2010-05-21 16:35 UTC|newest]
Thread overview: 10+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-05-18 13:38 Michael Barr
2010-05-19 9:27 ` Prof. Peter Johnstone
[not found] ` <alpine.LRH.2.00.1005191017510.6866@siskin.dpmms.cam.ac.uk>
2010-05-19 9:59 ` Michael Barr
2010-05-20 22:04 ` George Janelidze
2010-05-21 16:35 ` Toby Bartels [this message]
2010-05-22 15:48 ` Timothy Porter
[not found] ` <4BF7FCB1.70303@bangor.ac.uk>
2010-05-22 17:08 ` Toby Bartels
[not found] ` <004b01caf868$759d49d0$0b00000a@C3>
2010-05-20 22:27 ` Michael Barr
2010-05-19 7:44 Fred E.J. Linton
2010-05-22 20:50 Fred E.J. Linton
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