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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Consistency results concerning two-point sets
by
Ben Chad
University of Oxford
Coauthors: Robin Knight, Rolf Suabedissen

A subset of the plane is said to be a two-point set iff it meets every line in exactly two points. We will discuss recent work which studies the isometry groups of two-point sets, and examine two consistency results which have arisen. In particular, we will show that it is consistent with ZFC that there exists a two-point set contained in a countable union of circles.

Date received: February 5, 2008

Copyright © 2008 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 Conferences Inc. Document # cawk-35.