Three-point sets

K. Bouhjar, J.J. Dijkstra, J. van Mill

Research output: Contribution to JournalArticleAcademicpeer-review


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 languageEnglish
Pages (from-to)215-227
JournalTopology and its Applications
Issue number2
Publication statusPublished - 2001


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