Wednesday, January 26, 2011

talking to adam katz about cyclic operads and di-operads again...

??so what _about_ viewing both of these as symmetric monoidal functors in certain way?? ??relationship to certain ideas of clement berger and michael batanin and so forth??? ??that is, something about similar ways of thinking about other things... ???but then what about also relationship to other ways of thinking about same thing???...

???this idea of using forgetful functor from sym mon cat where operations (??or composeable trees of them, os???) are di-graphs (or something...) to one where they're graphs (or something...) to get di-operad from cyclic operad... ...???something about whether this forgetful functor is "fibration" in certain sense ... ??in which case what's "fiber functor" (or something) like?? ... hmmmm.... ??hmm, maybe not a fibration ... ???...

(??hmm, so _is_ there something rather "opetopic" going on here??? ???...)

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