Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
locally compact abelian groups
|
| gptkbp:field |
measure theory
real analysis |
| gptkbp:generalizes |
gptkb:Steinhaus_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Steinhaus lemma
|
| gptkbp:namedAfter |
gptkb:Hugo_Steinhaus
|
| gptkbp:relatedTo |
open set
Lebesgue measure difference set |
| gptkbp:sentence |
If A is a subset of the real numbers with positive Lebesgue measure, then the difference set A-A contains an open interval around zero.
|
| gptkbp:usedIn |
ergodic theory
harmonic analysis |
| gptkbp:yearProposed |
1920s
|
| gptkbp:bfsParent |
gptkb:Steinhaus_theorem
|
| gptkbp:bfsLayer |
7
|