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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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What are the external triumphs of matroid theory?
A cell complex $K$ is an $m$-obstructor if the subcomplex $K\circledast K$ of the join $K*K$ consisting of the joins of disjoint cells is PL homeomorphic to the $(m+1)$-sphere. Flores (1933) proved th …