From: tholen@mathstat.yorku.ca
To: Miles Gould <miles@assyrian.org.uk>, categories@mta.ca
Subject: Re: Fundamental Theorem of Category Theory?
Date: Mon, 8 Jun 2009 07:44:40 -0400 [thread overview]
Message-ID: <E1MDiSE-0000BC-9G@mailserv.mta.ca> (raw)
You could make your choice more comprehensive: Freyd's General and
Special Adjoint Functor Theorems give a more complete picture of the
fundamental relationship between limit preservation and adjointness.
Regards, Walter.
Quoting Miles Gould <miles@assyrian.org.uk>:
> On Fri, Jun 05, 2009 at 04:36:23PM -0400, Ellis D. Cooper wrote:
>> There are Fundamental Theorems of Arithmetic, Algebra, Calculus, and
>> indeed, many more.
>>
>> My question is, What would be candidates for the Fundamental Theorem
>> of Category Theory?
>
> My suggestion would be the theorem that left adjoints preserve colimits,
> and right adjoints preserve limits.
>
...
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next reply other threads:[~2009-06-08 11:44 UTC|newest]
Thread overview: 19+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-06-08 11:44 tholen [this message]
-- strict thread matches above, loose matches on Subject: below --
2009-06-22 12:31 claudio pisani
2009-06-19 19:46 Matsuoka Takuo
2009-06-18 8:33 Vaughan Pratt
2009-06-18 0:27 Matsuoka Takuo
2009-06-17 22:45 Steve Lack
2009-06-17 17:04 Fred E.J. Linton
2009-06-17 7:29 Reinhard Boerger
2009-06-17 3:28 Vaughan Pratt
2009-06-16 21:58 Steve Lack
2009-06-16 20:23 Ellis D. Cooper
2009-06-16 19:34 Prof. Peter Johnstone
2009-06-15 22:02 Ellis D. Cooper
2009-06-15 21:58 Vaughan Pratt
2009-06-14 15:08 Makoto Hamana
2009-06-10 2:29 Hasse Riemann
2009-06-08 20:33 Miles Gould
2009-06-07 1:09 Fred E.J. Linton
2009-06-05 20:36 Ellis D. Cooper
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