[FRIAM] stygmergy, CA's, and [biological] development

[David Eric Smith]

Ah, of course!

And I even know David Spivak, and know some of his work with Brendan Fong.  He, in turn, knows of our interest in hypergraph abstractions for various systems.  Not sure how I missed this one.

Thx,

Eric


> On Oct 30, 2021, at 3:00 PM, Jon Zingale <jonzingale at gmail.com> wrote:
> 
> It some searching, but I found the paper where I first got a sense about
> operads. I hope that you also find it useful:
> https://arxiv.org/pdf/1806.08304.pdf <https://arxiv.org/pdf/1806.08304.pdf>
> 
> In particular, at the top of page 4 are a collection of diagrams
> depicting composition in categories, monoidal categories, traced monoidal
> categories and finally in hypergraph categories. Each, as far as I
> understand the concept (which is new to me) has a "governing" operad.
> For instance, the category of 1-dimensional oriented Cobordisms *governs*
> the traced monoidal category and the category of Cospan algebras does
> the same for hypergraphs. I figure you probably know the last relation
> because you are familiar with the bipartite graph representation of
> hypergraphs.
> 
> I suspect there are a number of nice duality properties in the Cospan
> category, I am not sure if they are the kind you were looking for (a
> certain duality between states and events).
> 
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