| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659138 | Topology and its Applications | 2011 | 9 Pages |
Abstract
Assuming PFA, every uncountable subset E of the plane meets some C1 arc in an uncountable set. This is not provable from MA(ℵ1), although in the case that E is analytic, this is a ZFC result. The result is false in ZFC for C2 arcs, and the counter-example is a perfect set.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
