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- W1569806769 abstract "Given an affine projection ir: P -* Q of a d-polytope P onto a polygon Q, it is proved that the poset of proper polytopal subdivisions of Q which are induced by ir has the homotopy type of a sphere of dimension d 3 if ir maps all vertices of P into the boundary of Q. This result, originally conjectured by Reiner, is an analogue of a result of Billera, Kapranov and Sturmfels on cellular strings on polytopes and explains the significance of the interior point of Q present in the counterexample to their generalized Baues conjecture, constructed by Rambau and Ziegler." @default.
- W1569806769 created "2016-06-24" @default.
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- W1569806769 date "2000-11-21" @default.
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- W1569806769 title "Projections of polytopes on the plane and the generalized Baues problem" @default.
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- W1569806769 doi "https://doi.org/10.1090/s0002-9939-00-05728-2" @default.
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