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Jan 27, 2016 at 11:51 vote accept Jonathan Beardsley
Jan 27, 2016 at 3:14 comment added Jonathan Beardsley @ToddTrimble maybe I should get back over there! Haven't been on the forum in a really long time, but I seem to be wading into more and more categorical stuff recently (e.g. categories of operators, multicategories, the above).
Jan 27, 2016 at 1:22 comment added Todd Trimble It's funny, we were talking about this type of construction at the nForum and nLab very recently. If you take the slice $M/I$ over the monoidal unit, then you get the cofree semicartesian monoidal category over $M$. An example we were looking at was the category of vector spaces over a ground field $k$, where $\text{Vect}/k$ is a collage of vector spaces and affine spaces. I'm describing it in a hurry in this tiny comment box, but see here for the discussion: nforum.ncatlab.org/discussion/4383/closed-monoidal-category (esp. starting around comment 8 ff).
Jan 27, 2016 at 0:40 answer added Alexander Campbell timeline score: 13
Jan 26, 2016 at 22:15 comment added Jonathan Beardsley For instance, unless I'm mistaken, one immediately has problems even getting that this monoidal structure is closed?
Jan 26, 2016 at 21:12 history asked Jonathan Beardsley CC BY-SA 3.0