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From: David Roberts <droberts.65537@gmail.com>
To: "categories@mta.ca list" <categories@mta.ca>
Subject: Reference for lifting an adjunction to a monoidal one
Date: Sat, 28 Jan 2017 11:38:05 +1030	[thread overview]
Message-ID: <E1cXUvw-0006ds-2K@mlist.mta.ca> (raw)

Hi all,

I need a textbook or otherwise standard reference for the fact that if one
has a pair of monoidal categories C, D, and an adjunction L -| R: UC <-->
UD between their underlying categories, then if one of L or R lift to a
(strong) monoidal functor, then the adjunction lifts to an adjunction in
the 2-category of monoidal categories, strong monoidal functors and
monoidal natural transformations.

(Mac Lane of course only treats the case of strict monoidal functors, at
least in my, older, edition of his book)

Thanks,
David


[For admin and other information see: http://www.mta.ca/~cat-dist/ ]


             reply	other threads:[~2017-01-28  1:08 UTC|newest]

Thread overview: 3+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2017-01-28  1:08 David Roberts [this message]
2017-01-30  2:37 ` Richard Garner
     [not found]   ` <E1caAe9-0007SY-7G@mlist.mta.ca>
2017-02-05  1:31     ` F. Lucatelli Nunes

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