The Generalized Baues Problem for Cyclic Polytopes II Preprint SC 98-43 (Januar 1999) THE GENERALIZED BAUES PROBLEM FOR CYCLIC POLYTOPES II
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چکیده
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 0)! C(n; d) for all 1 d < d 0 < n.
منابع مشابه
On Some Instances of the Generalized Baues Problem
We present an approach applicable to certain instances of the generalized Baues problem of Billera, Kapranov, and Sturmfels. This approach involves two applications of Alexander/Spanier-Whitehead duality. We use this to show that the generalized Baues problem has a positive answer for the surjective map of cyclic polytopes C (n; d) ! C (n; 2) if n < 2d + 2 and d 9.
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