Set Theory and its Applications pp 68-72
Two remarks about analytic sets
- Cite this paper as:
- van Engelen F., Kunen K., Miller A.W. (1989) Two remarks about analytic sets. In: Steprāns J., Watson S. (eds) Set Theory and its Applications. Lecture Notes in Mathematics, vol 1401. Springer, Berlin, Heidelberg
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 ω1 compact subsets of a Borel set with the property that no σ-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.
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