6533b86ffe1ef96bd12cd1f4
RESEARCH PRODUCT
A note on the distance set problem in the plane
Themis Mitsissubject
Discrete mathematicsPlane (geometry)Applied MathematicsGeneral MathematicsMathematical analysisσ-finite measureMeasure (mathematics)Set (abstract data type)Simple (abstract algebra)Mathematics::Metric GeometryHausdorff measureOuter measureBorel measureMathematicsdescription
We use a simple geometric-combinatorial argument to establish a quantitative relation between the generalized Hausdorff measure of a set and its distance set, extending a result originally due to Falconer.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-10-12 | Proceedings of the American Mathematical Society |