Athanasiadis, Christos A.; Rambau, Jörg; Santos, Francisco The generalized Baues problem for cyclic polytopes. II. (English) Zbl 1009.52023 Publ. Inst. Math., Nouv. Sér. 66(80), 3-15 (1999). A general Baues problem is the question whether for a given surjection \(\pi:P\to Q\) of convex polytopes, the poset of all proper polyhedral subdivisions of \(Q\), induced by \(\pi\), is a homotopy sphere. The main result is an affirmative answer to the Baues problem if \(P\) and \(Q\) are assumed to be cyclic polytopes and \(\pi\) is a naturally defined map. The main tool is the so called “sliding” technique that has been introduced and previously used by the authors in other Baues type problems [see Eur. J. Comb. 21, 65-83 (2000; Zbl 0951.52011)]. Reviewer: Rade Živaljević (Beograd) Cited in 1 Document MSC: 52B11 \(n\)-dimensional polytopes Keywords:fiber polytopes; general Baues problem Citations:Zbl 0951.52011 PDFBibTeX XMLCite \textit{C. A. Athanasiadis} et al., Publ. Inst. Math., Nouv. Sér. 66(80), 3--15 (1999; Zbl 1009.52023) Full Text: EuDML