講演者：Lajos Soukup（はんがりーかがくあかd）

題目：On splitting infinite-fold covers

アブストラクト：

Let X be a set, kappa be a cardinal number and let H be a
family of subsets of X which covers each x in X at least kappa times. 

What assumptions can ensure that H can be decomposed into 

kappa many disjoint subcovers?

We examine this problem under various assumptions on the set X and
on the cover H: among other situations, we consider covers of
topological spaces by closed sets, interval covers of linearly ordered sets 

and covers of the Euclidean space R^n by polyhedra and by arbitrary convex sets. 

We focus on these problems mainly for infinite kappa.
Besides numerous positive and negative results, many questions turn out to be
independent of the usual axioms of set theory.