Homogeneity and generalizations of 2-point sets

Authors
Publication date 2014
Journal Houston Journal of Mathematics
Volume | Issue number 40 | 3
Pages (from-to) 885-898
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We prove the existence of homogeneous n-point sets (i.e., subsets of the plane which eet every line in exactly n points) for every finite n ≥ 3. We also show that for every zero-dimensional subset A of the real line there is a subset X of the plane such that every line intersects X in a topological copy of A.
Document type Article
Language English
Published at http://www.math.uh.edu/~hjm/
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