Alexander duality in subdivisions of Lawrence polytopes

Details Alexander duality in subdivisions of Lawrence polytopes Alexander duality in subdivisions of Lawrence polytopes

2002-02-12

arxiv.org/abs/math/0202104v2

Adv. Geom. 3 (2003), no. 2, 177-189

Mathematics

Combinatorics

12 pages, 3 figures, to appear in Advances in Geometry. Changes from v1: Added a Section 5 on the topology of Alexander duals,

Scientific paper

10.1515/advg.2003.012

The class of simplicial complexes representing triangulations and
subdivisions of Lawrence polytopes is closed under Alexander duality.
This gives a new geometric model for oriented matroid duality.

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