Abstract
Every arrangement H of affine hyperplanes in Rd determines a partition of Rd into open topological cells. The face lattice L(H) of this partition was the object of a study by Barnabei and Brini, who determined the homotopy type of its intervals.We use geometric constructions from the theory of convex polytopes to prove the shellability of L(H) and to determine the combinatorial topology of its intervals up to homeomorphism.
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