Homogeneity and generalizations of 2-point sets
W. Brian, Jan VAN MILL, Rolf Suabedissen · UvA-DARE (University of Amsterdam) · 2014
We prove the existence of homogeneous n-point sets (i.e., subsets of the plane which eet every line in exactly n points) for every finite n ≥ 3. We also show that for every zero-dimensional subset A of the real line there is a subset X of the plane such that every line intersects X in a topological copy of A.