| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660275 | Topology and its Applications | 2009 | 5 Pages |
Abstract
A two-point set is a subset of the plane which meets every line in exactly two points. We discuss previous work on the topological symmetries of a two-point set, and show that there exist subgroups of S1 which do not leave any two-point set invariant. Further, we show that two-point sets may be chosen to be topological groups, in which case they are also homogeneous.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
