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Apr 6, 2014 at 16:55 vote accept Josh
Apr 6, 2014 at 16:55 comment added Josh Ah yes I was aware of that, though probably should have pointed that out. Thanks!
Apr 6, 2014 at 16:10 comment added Adam Gal just a note: you say that you consider direct sums, i.e. coproducts, but your morphisms are really morphisms from the coproduct of x_i's to the product of y_i's, and then to compose you identify them, so really they are "formal biproducts"
Apr 3, 2014 at 15:11 answer added Dimitri Chikhladze timeline score: 4
Apr 3, 2014 at 10:00 comment added Fernando Muro Indeed, I mean enriched in abelian groups.
Apr 3, 2014 at 9:59 history edited Josh CC BY-SA 3.0
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Apr 3, 2014 at 9:58 comment added Josh Thanks @Muro! :) I don't think $\mathcal{C}$ is required to be additive, I thought the point of taking the additive envelope was to construct an additive category containing the original. But I think you're right in that I need $\mathcal{C}$ to be enriched over abelian groups. Thanks!
Apr 3, 2014 at 9:41 comment added Fernando Muro I've corrected that tag. I guess you should add that $\mathcal C$ is additive. Your construction looks correct to me, but I don't know of any reference.
Apr 3, 2014 at 9:40 history edited Fernando Muro
edited tags
Apr 3, 2014 at 8:09 review First posts
Apr 3, 2014 at 8:16
Apr 3, 2014 at 7:54 comment added Josh And I'm not sure if higher-category-theory is an appropriate tag for this question, help retagging would be appreciated.
Apr 3, 2014 at 7:53 history asked Josh CC BY-SA 3.0