| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661044 | Topology and its Applications | 2008 | 4 Pages |
Abstract
We prove that, for every n⩾2, there exists an n-point set (a plane set which hits every line in exactly n points) that is homeomorphic to the graph of a function from R to R; for n⩾4, there exist both 0-dimensional and 1-dimensional examples. This raises the question (which we do not answer) of whether n-point sets for different n's could be homeomorphic.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
