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Show/Hide Abstract A survey of the higher Stasheff-Tamari orders (2012)
Jörg Rambau Victor Reiner
The Tamari lattice, thought as a poset on the set of triangulations of a convex polygon with n vertices, generalizes to the higher Stasheff-Tamari orders on the set of triangulations of a cyclic d-dimensional polytope having n vertices. This survey discusses what is known about these orders, and what one would like to know about them.

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