From: Peter May <may@math.uchicago.edu>
Subject: Re: filtered monads?
Date: Sun, 30 May 2010 10:40:23 -0500 [thread overview]
Message-ID: <E1OIsMy-0005Xx-P7@mailserv.mta.ca> (raw)
In-Reply-To: <E1OIjWM-0006Py-1M@mailserv.mta.ca>
From my perspective, the original definition of
operad was designed to produce a (nonnegatively)
filtered monad with the same algbras. That was
central to all of the early applications, although
I don't think I spelled it out categorically.
I did spell it out when using it for calculations.
The filtration on the monad C was given by subfunctors
F_jC such that the unit Id >--> C factored through F_1C
and the product CC >--> C was given by restricted
functors F_kCF_jC >--> F_{kj}C.
(I also preferred F_0C to be the constant functor at
the unit object of the underlying symmmetric monoidal
category, but that was negotiable).
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2010-05-30 15:40 UTC|newest]
Thread overview: 7+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-05-27 3:06 filtered monads? [resent] James Borger
2010-05-29 20:55 ` Richard Garner
2010-05-30 4:05 ` filtered monads? Patrik Eklund
2010-05-30 11:37 ` John Baez
2010-05-30 15:40 ` Peter May [this message]
[not found] ` <AANLkTimKrlok4-5_VtORytawuPBh6v7sBu3dAB9Htj1n@mail.gmail.com>
2010-06-01 1:11 ` James Borger
-- strict thread matches above, loose matches on Subject: below --
2010-05-27 3:06 categories
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