I’ve read the following proof-less claim: there is no operad such that the algebras over it are fields. We can make that precise by asking whether there’s an operad $\mathcal{P}$ in abelian groups such that the category $\mathcal{P}Alg$ is equivalent to the category of fields. Intuitively this seems true: every axiom but the existence of […]

I am reading the wiki page on operad theory and I am trying to figure out how exactly those “Little something” operads work which are mentioned there. Specifically, I am having a hard time, despite the verbal statements on the page, grasping what is really going on with the n-discs operads (you have an illustration […]

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