Space coverings by translates of convex sets
Helmut Groemer · Pacific Journal of Mathematics · 1979
Let (Ci) be a sequence of compact convex subsets of euclidean ^-dimensional space E n .Some necessary and sufficient conditions in order that almost all points of E n can be covered by translates of the sets C* are established.It is shown that such a covering is possible if and only if all points of E n can be covered by congruent copies of the sets C*. 1* Introduction* Let (C<) = (C ίf C 2 ,•) be a sequence of convex