On Subdivision Posets of Cyclic Polytopes
نویسندگان
چکیده
There are two related poset structures, the higher Stasheff-Tamari orders, on the set of all triangulations of the cyclic d polytope with n vertices. In this paper it is shown that both of them have the homotopy type of a sphere of dimension n d 3. Moreover, we resolve positively a new special case of the Generalized Baues Problem: The Baues poset of all polytopal decompositions of a cyclic polytope of dimension d 3 has the homotopy type of a sphere of dimension n d 2.
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عنوان ژورنال:
- Eur. J. Comb.
دوره 21 شماره
صفحات -
تاریخ انتشار 2000