Geodesic
The Generalized Baues Problem for Cyclic Polytopes II
Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 3 .

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Given an affine surjection of polytopes $\pi: P \to Q$, the Generalized Baues Problem asks whether the poset of all proper polyhedral subdivisions of $Q$ which are induced by the map $\pi$ 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 $\pi:C(n,d')\to C(n,d)$ for all $1\leq d
Classification : 52B11 05E25 
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     title = {The {Generalized} {Baues} {Problem} for {Cyclic} {Polytopes} {II}},
     journal = {Publications de l'Institut Math\'ematique},
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     zbl = {1009.52023},
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Christios A. Athanasiadis; Jörg Rambau; Francisco Santos. The Generalized Baues Problem for Cyclic Polytopes II. Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 3 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_66_80_a1/