The Generalized Baues Problem for Cyclic Polytopes II
Please always quote using this URN: urn:nbn:de:0297-zib-3862
- 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 $1 \leq d < d' < n$.
Author: | Christos A. Athanasiadis, Jörg Rambau, Francisco Santos |
---|---|
Document Type: | ZIB-Report |
Tag: | Bistellar Operations; Cyclic Polytopes; Generalized Baues Problem; Induced Subdivisions; Polyhedral Subdivisions; Poset; Spherical |
MSC-Classification: | 52-XX CONVEX AND DISCRETE GEOMETRY / 52Bxx Polytopes and polyhedra / 52B99 None of the above, but in this section |
52-XX CONVEX AND DISCRETE GEOMETRY / 52Cxx Discrete geometry / 52C22 Tilings in n dimensions [See also 05B45, 51M20] | |
Date of first Publication: | 1999/01/27 |
Series (Serial Number): | ZIB-Report (SC-98-43) |
ZIB-Reportnumber: | SC-98-43 |
Published in: | Appeared in: Publications de l'Institut Mathematique, Belgrade 66 (1999) 3-15 |