Generic Partial Two-Point Sets Are Extendable
Printed: Mar 1999
It is shown that under $\ZFC$ almost all planar compacta that meet
every line in at most two points are subsets of sets that meet every
line in exactly two points. This result was previously obtained by the
author jointly with K.~Kunen and J.~van~Mill under the assumption that
Martin's Axiom is valid.
57N05 - Topology of $E^2$, $2$-manifolds