Dear Mike, This paper of Vincent Schmitt involves such a structure on the 2-category of symmetric monoidal categories. I don't think the abstract structure of which this is an instance is made explicit though. http://arxiv.org/abs/0711.0324 Richard On Sat, May 3, 2014, at 01:40 AM, Mike Stay wrote:

In a closed symmetric monoidal bicategory, the categories Hom(A tensor B, C) and Hom(A, hom(B, C)) are equivalent. It occurred to me that one could weaken this equivalence to a mere adjunction. Looking for references, I found Lars Birkedal's thesis where he considers "weakly closed partial cartesian" bicategories.

Are there other references I should be aware of? Thanks! -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com

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