* internal hom of the omega-category of omega-my own attempt
@ 2010-09-26 14:11 David Leduc
0 siblings, 0 replies; only message in thread
From: David Leduc @ 2010-09-26 14:11 UTC (permalink / raw)
To: categories; +Cc: Urs Schreiber, Ross Street
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?
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
^ permalink raw reply [flat|nested] only message in thread
only message in thread, other threads:[~2010-09-26 14:11 UTC | newest]
Thread overview: (only message) (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2010-09-26 14:11 internal hom of the omega-category of omega-my own attempt David Leduc
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).