Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Hausdorff_dimension
sets of real numbers well-approximable numbers |
| gptkbp:field |
gptkb:mathematics
gptkb:Diophantine_approximation gptkb:metric_number_theory |
| gptkbp:namedAfter |
gptkb:Vojtěch_Jarník
gptkb:Abram_Samoilovitch_Besicovitch |
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:state |
The set of real numbers that are very well approximable by rationals has Hausdorff dimension 2/(t+1) for approximation exponent t > 1.
|
| gptkbp:yearProved |
1929
|
| gptkbp:bfsParent |
gptkb:metric_number_theory
|
| gptkbp:bfsLayer |
7
|
| http://www.w3.org/2000/01/rdf-schema#label |
Jarník–Besicovitch theorem
|