Abstract
We prove that a planar set which meets each line in exactly three points cannot contain a continuum and cannot be an F-sigma-set. We also present some results on extending and splitting n-point sets. Our results imply that there is a four-point set which contains an are. (C) 2001 Elsevier Science B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 215-227 |
Journal | Topology and its Applications |
Volume | 112 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2001 |