On Subdivision Posets of Cyclic Polytopes

European Journal of Combinatorics

Volumn 21, Issue 1, 2000, Pages 85-101

  Edelman, Paul H ^a   Rambau, Jörg ^b   Reiner, Victor ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

^b ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034420788     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1999.0320     Document Type: Article

References (12)

1. C. Athanasiadis, J. Rambau and F. Santos, The Generalized Baues Problem for cyclic polytopes II, Preprint SC 43-98, to appear in Proceedings of Geometric Combinatorics '98 (Kotor) Publ. de l'Institut Mathematique, Belgrade, 1998.
2. L. J. Billera, M. M. Kapranov and B. Sturmfels, Cellular strings on polytopes, Proc. Am. Math. Soc., 122 (1994), 549-555.
3. A. Björner, Topological Methods, in: Handbook of Combinatorics, R. Graham, M. Grötschel and L. Lovász (eds), North-Holland, Amsterdam, 1995, pp. 1819-1872.
4. S. Bouc, Homologie de certains ensembles ordonnés, C. R. Acad. Sci. Paris Sér I, 299 (1984), 49-52.
5. P. H. Edelman and V. Reiner, The higher Stasheff-Tamari posets, Mathematika, 43 (1996), 127-154.
6. J. Rambau, Polyhedral subdivisions and projections of polytopes, Ph.D. Thesis, Fachbereich Mathematik, TU-Berlin, Shaker-Verlag, Aachen, 1996.
7. J. Rambau, Triangulations of cyclic polytopes and higher Bruhat orders, Mathematika, 44 (1997), 162-194.
8. J. Rambau, A suspension lemma for bounded posets, J. Comb. Theory, Ser. A, 80 (1997), 374-379.
9. J. Rambau and F. Santos, The generalized Baues problems for cyclic polytopes I, in: Combinatorics of Polytopes, K. Fukuda and G. M. Ziegler (eds), Europ. J. Combinatorics, 21 (2000), 65-83.
10. J. Rambau and G. M. Ziegler, Projections of polytopes and the Generalized Baues Conjecture, Discrete Comput. Geom., 16 (1996), 215-237.
11. J. W. Walker, Topology and combinatorics of ordered sets, Ph.D. Thesis, MIT, 1981.
12. G. M. Ziegler, Lectures on Polytopes, Graduate Texts in Mathematics, 152, Springer-Verlag, Berlin, 1994.