From: David Leduc <david.leduc6@googlemail.com>
To: categories <categories@mta.ca>
Cc: Urs Schreiber <urs.schreiber@googlemail.com>,
Ross Street <ross.street@mq.edu.au>
Subject: internal hom of the omega-category of omega-my own attempt
Date: Sun, 26 Sep 2010 14:11:05 +0000 [thread overview]
Message-ID: <E1P00HO-0004rU-S0@mlist.mta.ca> (raw)
Dear all,
I read somewhere that strict omega-categories are well understood
(unfortunately, not by me).
I hope someone knowledgeable can help me with the problem below.
Let C and D be strict omega-categories.
One can build the following strict omega-category that I call [C,D] :
objects = functor from C to D
hom_[C,D] (F, G) = Product_{X in C} hom_D (F X, G X)
This construction can be extended to an omega-functor [_,_].
Is [_,_] the internal hom of the omega-category of omega-categories?
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reply other threads:[~2010-09-26 14:11 UTC|newest]
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