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Sep 6, 2021 at 5:36 comment added Emily @NoahSnyder Maybe something to note is that precisely this definition has appeared on the literature, but equivalently phrased as a lax symmetric monoidal functor $(\mathsf{FinSets}^{\simeq},\coprod,\emptyset)\to(\mathsf{Ab},\otimes_{\mathbb{Z}},\otimes_{\mathbb{Z}})$. See Section 2 of Bunke–Nikolaus's Twisted differential cohomology.
Oct 28, 2017 at 22:29 comment added Noah Snyder Nifty! I was thinking “this is kind of like species” but didn’t exactly understand how.
Oct 28, 2017 at 21:13 history edited Qiaochu Yuan CC BY-SA 3.0
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Oct 28, 2017 at 21:07 history answered Qiaochu Yuan CC BY-SA 3.0