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From: "Fred E.J. Linton" <fejlinton@usa.net>
To: Steve Lack <s.lack@uws.edu.au>, categories <categories@mta.ca>
Subject: Re: Q. about monoidal functors
Date: Thu, 06 May 2010 21:01:24 -0400	[thread overview]
Message-ID: <E1OAMai-0001UT-K6@mailserv.mta.ca> (raw)

Thanks, Steve,

> Such a T is called a symmetric monoidal functor.

Thanks for helping dispel my illusion that all monoidal
functors might necessarily be thus symmetric :-) :
 
> Example: let _A_ be Set with the cartesian monoidal structure. Let
> M be a monoid and let T be the functor Set->Set sending X to MxX (which
> I'll write as MX). This functor T is monoidal via the map MXMY->MXY sending
> (m,x,n,y) to (mn,x,y). It is symmetric monoidal iff M is commutative.

Cheers, -- Fred




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             reply	other threads:[~2010-05-07  1:01 UTC|newest]

Thread overview: 7+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-05-07  1:01 Fred E.J. Linton [this message]
2010-05-07 19:48 ` Toby Bartels
2010-05-08  2:59   ` Q about_monoidal_functors? Andre Joyal
2010-05-09  5:54     ` Toby Bartels
2010-05-13  1:46   ` wrong axioms Andre Joyal
  -- strict thread matches above, loose matches on Subject: below --
2010-05-06  6:01 Q. about monoidal functors Fred E.J. Linton
2010-05-06 23:02 ` Steve Lack

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