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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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Is there a characterization of hyperplane arrangement intersection posets?

Chapters 4 and 8 of Oriented Matroids By Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Gunter M. Ziegler reviews the big face lattice of oriented matroids, and when that is realiz …
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