Title: Two Remarks about analytic sets
Authors: Fons van Engelen, Kenneth Kunen, and Arnold W. Miller
Abstract:
In this paper we give two results about analytic sets. The first
is a counterexample to a problem of Fremlin. We show that there
exists omega_1 compact subsets of a Borel set with the property
that no \sigma-compact subset of the Borel set covers them.
In the second section we prove that for any analytic subset A of
the plane either A can be covered by countably many lines or
A contains a perfect subset P which does not have three collinear
points.