J (3) labelled by painted trees

J (3) labelled by painted trees

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We present a combinatorial isomorphism between Stasheff associahedra and an inductive cone construction of those complexes given by Loday. We give an alternate description of certain polytopes, known as multiplihedra, which arise in the study of $A_\infty$ maps. We also prove a combinatorial isomorphism between Stasheff associahedra, collapsed mult...

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Context 1
... using m 2 , m 2 , f , there are six different ways (cf. figure 8) to define a map from ...
Context 2
... 1 a 2 a 3 . . . a n+1 a 4 a n Figure 18. Initial step ...

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