Projections of polytopes and the generalized baues conjecture

Discrete and Computational Geometry

Volumn 16, Issue 3, 1996, Pages 215-237

  Rambau, J ^a   Ziegler, G M ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030523539     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02711510     Document Type: Article

References (18)

1. J. F. Adams. On the cobar construction. Proceedings of the National Academy of Science, 42:409-412, 1956.
2. H. J. Baues. Geometry of loop spaces and the cobar construction. Memoirs of the American Mathematical Society, 25(230): 171, 1980.
3. L. J. Billera, I. M. Gel'fand, and B. Sturmfels. Duality and minors of secondary polyhedra. Journal of Combinatorial Theory, Series B, 57:258-268, 1993.
4. L. J. Billera, M. M. Kapranov, and B. Sturmfels. Cellular strings on polytopes. Proceedings of the American Mathematical Society, 122:549-555, 1994.
5. L. J. Billera and B. Sturmfels. Fiber polytopes. Annals of Mathematics, 135:527-549, 1992.
6. A. Björner. Essential chains and homotopy types of posets. Proceedings of the American Mathematical Society, 402:1179-1181, 1992.
7. A. Björner. Topological methods. In R. Graham, M. Grötschel, and L. Lovász, editors, Handbook of Combinatorics, pp. 1819-1872. North-Holland, Amsterdam, 1995.
8. T. Christof. Porta - a polyhedron representation transformation algorithm v. 1.2.1. Available from the ZIB electronic library ELIB via elib@zib-berlin.de or by anonymous ftp from elib.zib-berlin.de, directory /pub/mathprog/polyth.
9. P. H. Edelman and V. Reiner. Visibility complexes and the Baues Problem for triangulations in the plane. Preprint 1995.
10. H. Edelsbrunner and N. R. Shah. Incremental topological flipping works for regular triangulations. Proceedings of the 8th Annual ACM Symposium on Computational Geometry, Berlin, pp. 43-52. ACM Press, New York, 1992.
11. B. Joe. Three-dimensional triangulations from local transformations. SIAM Journal of Scientific Statistical Computation, 10:718-741, 1989.
12. B. Joe. Construction of three-dimensional Delaunay triangulations using local transformations. Computer Aided Geometric Design, 8:123-142, 1991.
13. R. D. MacPherson. Combinatorial differential manifolds. In L. R. Goldberg and A. V. Phillips, editors, Topological Methods in Modern Mathematics: a Symposium in Honor of John Milnor's Sixtieth Birthday, Stony Brook, NY, 1991, pp. 203-221. Publish or Perish, Houston, TX, 1993.
14. N. E. Mnëv and G. M. Ziegler. Combinatorial models for the finite-dimensional Grassmannians. Discrete & Computational Geometry, 10:241-250, 1993.
15. A. Nabutovsky. Extremal triangulations of manifolds. Preprint, 1994.
16. B. Sturmfels. Fiber polytopes: a brief overview. In M. Yoshida, editor. Special Differential Equations, pp. 117-124. Kyushu University, Fukuoka, 1991.
17. B. Sturmfels and G. M. Ziegler. Extension spaces of oriented matroids. Discrete & Computational Geometry, 10:23-45, 1993.
18. G. M. Ziegler. Lectures on Polytopes. Graduate Texts in Mathematics, vol. 152. Springer-Verlag, New York, 1995. Updates, corrections, and more available at http://www.math.tu-berlin.de/∼ziegler.