On Subdivision Posets of Cyclic Polytopes

  title={On Subdivision Posets of Cyclic Polytopes},
  author={Paul H. Edelman and J{\"o}rg Rambau and Victor Reiner},
  journal={Eur. J. Comb.},
There are two related poset structures, the higher Stasheff–Tamari orders, on the set of all triangulations ofthe cyclicd polytope withn 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− d − 2. 

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Publications referenced by this paper.
Showing 1-8 of 8 references

The higher Stasheff–Tamari

  • P. H. Edelman, V. Reiner
  • posets, Mathematika,
  • 1996
3 Excerpts

Topological Methods, in: Handbookof Combinatorics

  • A. Björner
  • 1995
2 Excerpts

Homologie de certains ensembles ordonn és,C

  • S. Bouc
  • R. Acad. Sci. Paris Ś er I,
  • 1984

Topology and combinatorics of ordered sets

  • J. W. Walker
  • Ph.D. Thesis,
  • 1981
2 Excerpts

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