Find out how to access previewonly content
Set Theory and its Applications
Volume 1401 of the series Lecture Notes in Mathematics pp 6872
Date:
Two remarks about analytic sets
 Fons van EngelenAffiliated withVrÿe Universiteit Subfaculteit Wiskunde
 , Kenneth KunenAffiliated withDepartment of Mathematics, University of Wisconsin
 , Arnold W. MillerAffiliated withDepartment of Mathematics, University of Wisconsin
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 ω_{1} compact subsets of a Borel set with the property that no σcompact 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.
 Title
 Two remarks about analytic sets
 Book Title
 Set Theory and its Applications
 Book Subtitle
 Proceedings of a Conference held at York University, Ontario, Canada, Aug. 10–21, 1987
 Pages
 pp 6872
 Copyright
 1989
 DOI
 10.1007/BFb0097332
 Print ISBN
 9783540517306
 Online ISBN
 9783540467953
 Series Title
 Lecture Notes in Mathematics
 Series Volume
 1401
 Series ISSN
 00758434
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag
 Additional Links
 Topics
 Industry Sectors
 eBook Packages
 Editors
 Authors

 Fons van Engelen ^{(1)}
 Kenneth Kunen ^{(2)}
 Arnold W. Miller ^{(3)}
 Author Affiliations

 1. Vrÿe Universiteit Subfaculteit Wiskunde, De Boeleaan 1081, 1081 HV, Amsterdam, The Netherlands
 2. Department of Mathematics, University of Wisconsin, 53706, Madison, Wisconsin
 3. Department of Mathematics, University of Wisconsin, 53706, Madison, Wisconsin
Continue reading...
To view the rest of this content please follow the download PDF link above.