The Generalized Baues Problem for Cyclic Polytopes I

Given an affine surjection of polytopes : P Q, the Generalized Baues Problem asks whether the poset of all proper polyhedral subdivisions of Q which are induced by the map has the homotopy type of a sphere. We extend earlier work of the last two authors on subdivisions of cyclic polytopes to give an affirmative answer to the problem for the natural surjections between cyclic polytopes : C(n, d ) C(n, d) for all 1 d < d < n.

• Type: Journal
• Year: 2000
• Where: EJC
• Authors: Jörg Rambau, Francisco Santos
• Keywords: Cyclic Polytopes, EJC 2000, EJC 2007, Generalized Baues Problem, Proper Polyhedral Subdivisions