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Mansfield and Solovay type results on covering plane sets by lines
Published online by Cambridge University Press: 22 January 2016
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F. van Engelen, K. Kunen, and A. W. Miller proved, in [EKM], that for every analytic set A on the plane, either A can be covered by a countable family of lines or else there is a perfect subset P of A such that no three points of P are collinear. In this paper, we present some generalizations of their result. In particular, a question which was raised by van Engelen et al. in the last paragraph of [EKM] is answered (see Section 3).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1991