On n-point sets
by
Jan J. Dijkstra
University of Alabama
Coauthors: Khalid Bouhjar (Vrije Universiteit), R. Daniel Mauldin (University of North Texas), Jan van Mill (Vrije Universiteit)

Let n be an integer greater than one. An n-point set is a subset of the plane that intersects every line in exactly n points. We will address the following questions: what is the dimension of an n-point set, can an n-point set be \sigma-compact, and if n < k, when is an n-point set extendable to a k-point set and do k-point sets contain n-point sets?

Date received: February 15, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cady-61.