From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: Re: question on functors adjoint to their dual
Date: Wed, 5 Feb 1997 11:36:52 -0400 (AST) [thread overview]
Message-ID: <Pine.OSF.3.90.970205113633.9389A-100000@mailserv.mta.ca> (raw)
Date: Tue, 4 Feb 1997 15:44:58 -0500 (EST)
From: Fred E.J. Linton <FLinton@wesleyan.edu>
At 01:29 PM 2/4/97 -0400, you wrote:
>I am interested in the following situation: a contravariant functor
>adjoint to its own dual, with the unit and counit being the same
>morphism, but _not_ an iso.
>
>The canonical example is the contravariant internal hom on a cartesian
>(or just symmetric monoidal) closed category, [(_) -> A] for some
>object A.
>
>My question is: is this typical ... ?
I think it *is* typical: if we call the functor in question F ,
and if we write J for the unit object, then we should learn easily that
F will just be [(_) -> F(J)] , i.e., F(J) itself will serve as your A .
-- FEJ Linton
next reply other threads:[~1997-02-05 15:36 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
1997-02-05 15:36 categories [this message]
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1997-02-04 17:29 categories
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