Steinhaus Sets and Jackson Sets
| dc.creator | Gao, Su | |
| dc.creator | Miller, Arnold W. | |
| dc.creator | Weiss, William A. R. | |
| dc.date | 2006-03-09 | |
| dc.date.accessioned | 2026-07-07T07:06:44Z | |
| dc.date.available | 2026-07-07T07:06:44Z | |
| dc.description | We prove that there does not exist a subset of the plane S that meets every isometric copy of the vertices of the unit square in exactly one point. We give a complete characterization of all three point subsets F of the reals such that there does not exists a set of reals S which meets every isometric copy of F in exactly one point. A finite set X in the plane is Jackson iff for every subset S of the plane there exists an isometric copy Y of X such that Y does not meets S in exactly one point. These results are related to the open problem: Q. (Steve Jackson) Is every finite set X in the plane of two or more points Jackson? | |
| dc.description | Latex2e: 23 pages Latest version at http://www.math.wisc.edu/~miller | |
| dc.identifier | https://arxiv.org/abs/math/0603235 | |
| dc.identifier | http://arxiv.org/abs/math/0603235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110136 | |
| dc.subject | Logic | |
| dc.subject | Metric Geometry | |
| dc.subject | 52C20, 05C12, 11H06 | |
| dc.title | Steinhaus Sets and Jackson Sets | |
| dc.type | text |