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Lectures on Polytopes

- G. Ziegler
- Mathematics
- 29 November 1994

Based on a graduate course given at the Technische Universitat, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The clear and straightforward… Expand

Homotopy types of subspace arrangements via diagrams of spaces

- G. Ziegler, R. Živaljević
- Mathematics
- 1993

We prove combinatorial formulas for the homotopy type of the union of the subspaces in an (affine, compactified affine, spherical or projective) subspace arrangement. From these formulas we derive… Expand

Optimal bounds for the colored Tverberg problem

- Pavle V. M. Blagojevi'c, B. Matschke, G. Ziegler
- Mathematics
- 26 October 2009

We prove a "Tverberg type" multiple intersection theorem. It strengthens the prime case of the original Tverberg theorem from 1966, as well as the topological Tverberg theorem of Barany et al.… Expand

Hyperplane arrangements with a lattice of regions

- A. Björner, Paul H. Edelman, G. Ziegler
- Mathematics, Computer Science
- Discret. Comput. Geom.
- 1 December 1990

TLDR

Higher bruhat orders and cyclic hyperplane arrangements

- G. Ziegler
- Mathematics
- 1 April 1993

We study the higher Bruhat orders $B(n,k)$ of Manin & Schechtman [MaS] and - characterize them in terms of inversion sets, - identify them with the posets $U(C^{n+1,r},n+1)$ of uniform extensions of… Expand

Bounds for lattice polytopes containing a fixed number of interior points in a sublattice

- J. Lagarias, G. Ziegler
- Mathematics
- 1 October 1991

Tverberg plus constraints

- Pavle V. M. Blagojevi'c, F. Frick, G. Ziegler
- Mathematics
- 3 January 2014

Many of the strengthenings and extensions of the topological Tverberg theorem can be derived with surprising ease directly from the original theorem: For this we introduce a proof technique that… Expand

Shellability of chessboard complexes

- G. Ziegler
- Mathematics
- 1 February 1994

AbstractThe matchings in a complete bipartite graph form a simplicial complex, which in many cases has strong structural properties. We use an equivalent description aschessboard complexes: the… Expand

Oriented Matroids

- Jürgen Richter-Gebert, G. Ziegler
- Computer Science, Mathematics
- Handbook of Discrete and Computational Geometry…
- 2004

TLDR

Extension spaces of oriented matroids

- B. Sturmfels, G. Ziegler
- Mathematics, Computer Science
- Discret. Comput. Geom.
- 1 December 1993

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