to Saunder's description of clones,etc. recent work in String Field Theory has found use not only for operads (the pieces which assemble into a monoid) corresponding to n-ary ops but something that is new (at least to me): think of rooted trees as desribing n-ary ops with composition given by grafting root to branch e.g. associative algebras can be described by planar trees and Lie algebras by abstract trees then trees with edge lengths on the internal edges can be used to described strong homotopy analogs now what if we allow more general graphs with grafting allowed between any two branches as well has anyone other than a string field theorist ever seen such algebra?? jim ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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James Stasheff