From: John Bourke <johnb@maths.usyd.edu.au>
To: categories@mta.ca
Subject: Category of categories with pullbacks is cartesian closed
Date: Fri, 17 Apr 2009 11:22:32 +1000 [thread overview]
Message-ID: <E1LuodY-0003xI-EK@mailserv.mta.ca> (raw)
Dear category theorists,
I noticed recently that the category whose objects are categories with pullbacks and whose morphisms are pullback preserving functors is cartesian closed. Given a pair of categories with pullbacks A and B, the internal hom [A,B] has objects: pullback preserving functors from A to B, and morphisms: cartesian natural transformations.
I have posted a short paper on the arxiv proving this fact:
http://arxiv.org/abs/0904.2486
It seems like a fairly natural fact but is not to my knowledge in the literature. I am wondering whether anyone was previously aware of this result, and if so whether it might be mentioned somewhere in the literature?
Thanks,
John Bourke,
University of Sydney.
next reply other threads:[~2009-04-17 1:22 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-04-17 1:22 John Bourke [this message]
2009-04-22 14:29 F William Lawvere
2009-04-23 11:02 Paul Taylor
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