From: Ross Street <street@ics.mq.edu.au>
To: Categories <categories@mta.ca>
Subject: Re: Actions of monoidal functors [was Re: Arens product]
Date: Thu, 19 Jul 2007 14:46:41 +1000 [thread overview]
Message-ID: <E1IByZ6-0002pt-Ow@mailserv.mta.ca> (raw)
Dear Jeff
"Monoid" and "object on which a monoid acts" make sense in any
multicategory. A monoidal functor is a monoid in the convolution
multicategory [V,W] of functors from V to W. The T of which you speak
is an object on which M acts in [V,W].
Regards,
Ross
On 18/07/2007, at 4:11 AM, Jeff Egger wrote:
> In general, given a monoidal functor M:V-->W and a functor T:V-->W, a
> right-action of M on T should be a n.t. of the form T(A)@M(B)-->T(A@B)
> satisfying the obvious associativity and unitality axioms.
> --------------------
> I have always assumed that this concept is well-known, but I haven't
> succeeded in finding a reference in the literature for it... perhaps
> some of the more well-read readers of this list could help me out?
next reply other threads:[~2007-07-19 4:46 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2007-07-19 4:46 Ross Street [this message]
-- strict thread matches above, loose matches on Subject: below --
2007-07-17 18:11 Jeff Egger
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