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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.

13 votes

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 …
Sergey Melikhov's user avatar