* symmetric monoidal adjunctions
@ 2009-02-09 11:26 Tony Meman
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From: Tony Meman @ 2009-02-09 11:26 UTC (permalink / raw)
To: categories
Dear category theorists,
I have a question concerning symmetric monoidal adjunctions (of symmetric
monoidal functors).
Let V and W be symmetric monoidal categories, C a small category, F, G
symmetric monoidal functors and F:V<-->W:G a symmetric monoidal adjunction.
Is f:Fun(C,V)<-->Fun(C,W):g a symmetric monoidal adjunction? The functor
categories Fun(C,V) and Fun(C,W) are endowed with the pointwise symmetric
monoidal structure and the functors f and g are defined pointwise, too.
I am sorry that I have to ask you all this things about monoidal categories
and enriched categories but I can't find a book on that. I would be very
pleased if anybody can suggest me something to read.
Thank you in advance for any help.
Tony
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