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On the poset of all posets on n elements

✍ Scribed by Richard A. Brualdi; Hyung Chan Jung; William T. Trotter Jr


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
790 KB
Volume
50
Category
Article
ISSN
0166-218X

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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 nd -3. Moreover, we resolve positively a new special case