论文信息 - The bounded complex of a uniform affine oriented matroid is a ball

The bounded complex of a uniform affine oriented matroid is a ball

Zaslavsky conjectures that the bounded complex of a simple hyperplane arrangement is homeomorphic to a ball. We prove this conjecture for the more general uniform affine oriented matroids.

Xun Dong

[1] Günter M. Ziegler,et al. Oriented Matroids , 2017, Handbook of Discrete and Computational Geometry, 2nd Ed..

[2] R. Stanley. An Introduction to Hyperplane Arrangements , 2007 .

[3] Barry Mazur,et al. A Note on Some Contractible 4-Manifolds , 1961 .

[4] Günter M. Ziegler,et al. The face lattice of hyperplane arrangements , 1989, Discret. Math..

[5] Jim Lawrence,et al. Oriented matroids , 1978, J. Comb. Theory B.

[6] Winfried Hochstättler. Shellability of Oriented Matroids , 1990, IPCO.

[7] Xun Dong,et al. On the Bounded Complex of an Affine Oriented Matroid , 2006, Discret. Comput. Geom..

[8] T. Zaslavsky. Facing Up to Arrangements: Face-Count Formulas for Partitions of Space by Hyperplanes , 1975 .

[9] C. Rourke,et al. Introduction to Piecewise-Linear Topology , 1972 .