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2 votes
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How many operad structures are there on the symmetric sequence of simplices / finitely-suppo...

This is possibly a limit of operads of the formula you give where you choose homeomorphisms which tend (pointwise) to a constant function f(x) = c. …
James Griffin's user avatar
2 votes

When does the enveloping algebra functor lift to the category of bialgebras?

I was going to post this as a comment but rambled on too long. I haven't check the details of the following. To every operad $O$ there's an algebra $A(O)$ in the category of right $O$-modules create …
James Griffin's user avatar
1 vote
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Aspherical operads

I've left my original answer as some people may find it of interest. I have a candidate counterexample. The idea is to find a (non-symmetric) set operad in between the free operad $Free_2$ on a sing …
James Griffin's user avatar
2 votes

Aspherical operads

This needs some checking but for the free non-symmetric operad generated by a single operation in arity 2, the category (PRO) I think you get is the free monoidal category generated by a single object …
James Griffin's user avatar