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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 $1 \leq d < d' < n$.

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Metadaten
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
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