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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.

8 votes
1 answer
422 views

(p,q) versus Glivenko-Cantelli

Say a collection of sets $\mathcal{F}$ satisfies the (p,q) property if whenever $\mathcal{G}\subseteq\mathcal{F}$ with $|\mathcal{G}|\geq p$, there is a $\mathcal{H}\subseteq\mathcal{G}$ with $|\mathc …
Henry Towsner's user avatar
4 votes

Applications of idempotent ultrafilters

There are applications of idempotent ultrafilters (often under the name "idempotent member of the enveloping semigroup") to finding and classifying the structure of topological dynamical systems. Aus …