%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2017-06-06 22:38:10 +1000 %% Saved with string encoding Unicode (UTF-8) @book{Zie95, Author = {G. M. Ziegler}, Date-Added = {2017-04-09 07:04:55 +0000}, Date-Modified = {2017-04-09 07:05:39 +0000}, Publisher = {Springer-Verlag Berlin}, Series = {Graduate Texts in Mathematics, Vol. 152}, Title = {Lectures on Polytopes}, Year = {1995}} @article{SZ93, Author = {B. Sturmfels and G. M. Ziegler}, Date-Added = {2017-04-09 07:04:29 +0000}, Date-Modified = {2017-04-09 07:04:49 +0000}, Doi = {10.1007/bf02573961}, Journal = {Discrete Comput. Geom.}, Pages = {23--45}, Title = {Extension spaces of oriented matroids}, Volume = {10}, Year = 1993, Bdsk-Url-1 = {https://doi.org/10.1007%2Fbf02573961}, Bdsk-Url-2 = {http://dx.doi.org/10.1007/bf02573961}} @incollection{San06, Author = {F. Santos}, Booktitle = {Proceedings of the International Congress of Mathematicians, Madrid, 2006}, Date-Added = {2017-04-09 07:02:42 +0000}, Date-Modified = {2017-04-09 07:03:58 +0000}, Doi = {10.4171/022-3/46}, Pages = {931--962}, Publisher = {European Mathematical Society}, Title = {Geometric bistellar flips: the setting, the context and a construction}, Year = {2006}, Bdsk-Url-1 = {https://doi.org/10.4171%2F022-3%2F46}, Bdsk-Url-2 = {http://dx.doi.org/10.4171/022-3/46}} @article{San01, Author = {F. Santos}, Date-Added = {2017-04-09 07:00:48 +0000}, Date-Modified = {2017-04-09 07:01:47 +0000}, Doi = {10.1006/eujc.2000.0495}, Journal = {European J. Combin.}, Pages = {767--776}, Title = {Realizable but not strongly Euclidean oriented matroids}, Volume = {22}, Year = {2001}, Bdsk-Url-1 = {http://dx.doi.org/10.1006/eujc.2000.0495}} @article{San00, Author = {F. Santos}, Date-Added = {2017-04-09 06:59:31 +0000}, Date-Modified = {2017-04-09 07:00:12 +0000}, Doi = {10.1090/S0894-0347-00-00330-1}, Journal = {J. Amer. Math. Soc.}, Pages = {611--637}, Title = {A point configuration whose space of triangulations is disconnected}, Volume = {13}, Year = {2000}, Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0894-0347-00-00330-1}} @incollection{Rei99, Author = {V. Reiner}, Booktitle = {New Perspectives in Algebraic Combinatorics}, Date-Added = {2017-04-09 06:57:46 +0000}, Date-Modified = {2017-04-09 06:58:20 +0000}, Pages = {293--336}, Publisher = {Cambridge University Press}, Series = {MSRI Publications, Vol. 38}, Title = {The generalized Baues problem}, Year = {1999}} @article{RZ96, Author = {J. Rambau and G. M. Ziegler}, Date-Added = {2017-04-09 06:57:01 +0000}, Date-Modified = {2017-04-09 06:57:20 +0000}, Doi = {10.1007/bf02711510}, Journal = {Discrete Comput. Geom.}, Pages = {215--237}, Title = {Projections of polytopes and the Generalized Baues Conjecture}, Volume = {16}, Year = 1996, Bdsk-Url-1 = {https://doi.org/10.1007%2Fbf02711510}, Bdsk-Url-2 = {http://dx.doi.org/10.1007/bf02711510}} @article{MZ93, Author = {N. Mn{\"e}v and G. M. Ziegler}, Date-Added = {2017-04-09 06:55:30 +0000}, Date-Modified = {2017-04-09 06:55:51 +0000}, Doi = {10.1007/bf02573979}, Journal = {Discrete Comput. Geom.}, Pages = {241--250}, Title = {Combinatorial models for the finite-dimensional Grassmannians}, Volume = {10}, Year = 1993, Bdsk-Url-1 = {https://doi.org/10.1007%2Fbf02573979}, Bdsk-Url-2 = {http://dx.doi.org/10.1007/bf02573979}} @article{MR93, Author = {N. Mn{\"e}v and J. Richter-Gebert}, Date-Added = {2017-04-09 06:53:58 +0000}, Date-Modified = {2017-04-09 06:55:01 +0000}, Doi = {10.1007/bf02573981}, Journal = {Discrete Comput. Geom.}, Pages = {271--285}, Title = {Two constructions of oriented matroids with disconnected extension space}, Volume = {10}, Year = 1993, Bdsk-Url-1 = {https://doi.org/10.1007%2Fbf02573981}, Bdsk-Url-2 = {http://dx.doi.org/10.1007/bf02573981}} @inproceedings{Mac93, Author = {R. D. Macpherson}, Booktitle = {Topological Methods in Modern Mathematics -- Proc. of a Symposium in Honor of John Milnor's Sixtieth Birthday, SUNY Stony Brook, June 1991}, Date-Added = {2017-04-09 06:50:53 +0000}, Date-Modified = {2017-04-09 06:52:47 +0000}, Pages = {203--221}, Publisher = {Publish or Perish}, Title = {Combinatorial differential manifolds}, Year = {1993}} @misc{Liu16b, Author = {G. Liu}, Date-Added = {2017-04-09 06:05:14 +0000}, Date-Modified = {2017-04-09 06:06:03 +0000}, Eprint = {1606.05033}, Eprinttype = {arxiv}, Note = {Submitted}, Title = {A counterexample to the extension space conjecture for realizable oriented matroids}, Year = {2016}} @misc{Liu16a, Author = {G. Liu}, Date-Added = {2017-04-09 06:04:14 +0000}, Date-Modified = {2017-04-09 06:05:08 +0000}, Eprint = {1605.02366}, Eprinttype = {arxiv}, Note = {Submitted}, Title = {A zonotope and a produce of two simplices with disconnected flip graphs}, Year = {2016}} @article{BS92, Author = {L. J. Billera and B. Sturmfels}, Date-Added = {2017-04-09 06:02:36 +0000}, Date-Modified = {2017-04-09 06:03:06 +0000}, Doi = {10.2307/2946575}, Journal = {Ann. Math.}, Pages = {527--549}, Title = {Fiber polytopes}, Volume = {135}, Year = 1992, Bdsk-Url-1 = {https://doi.org/10.2307%2F2946575}, Bdsk-Url-2 = {http://dx.doi.org/10.2307/2946575}} @article{BKS94, Author = {L. J. Billera and M. M. Kapranov and B. Sturmfels}, Date-Added = {2017-04-09 06:01:42 +0000}, Date-Modified = {2017-04-09 06:02:12 +0000}, Doi = {10.2307/2161048}, Journal = {Proc. Amer. Math. Soc.}, Pages = {549--555}, Title = {Cellular strings on polytopes}, Volume = {122}, Year = 1994, Bdsk-Url-1 = {https://doi.org/10.2307%2F2161048}, Bdsk-Url-2 = {http://dx.doi.org/10.2307/2161048}} @phdthesis{Bab93, Author = {E. Babson}, Date-Added = {2017-04-09 06:00:37 +0000}, Date-Modified = {2017-04-09 06:01:11 +0000}, School = {Massachusetts Institute of Technology}, Title = {A combinatorial flag space}, Year = {1993}} @article{AD02, Author = {L. Anderson and J. F. Davis}, Date-Added = {2017-04-09 06:00:06 +0000}, Date-Modified = {2017-04-09 06:00:30 +0000}, Doi = {10.1007/s00029-002-8104-4}, Journal = {Selecta Math., New Ser.}, Pages = {161--200}, Title = {Mod 2 cohomology of combinatorial Grassmannians}, Volume = {8}, Year = 2002, Bdsk-Url-1 = {https://doi.org/10.1007%2Fs00029-002-8104-4}, Bdsk-Url-2 = {http://dx.doi.org/10.1007/s00029-002-8104-4}} @incollection{And99, Author = {L. Anderson}, Booktitle = {New Perspectives in Algebraic Combinatorics}, Date-Added = {2017-04-09 05:58:14 +0000}, Date-Modified = {2017-04-09 05:59:06 +0000}, Pages = {1--21}, Publisher = {Cambridge University Press}, Series = {MSRI Publications, Vol. 38}, Title = {Matroid bundles}, Year = {1999}}