Besicovitch covering theorem
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Euclidean_spaces
|
| gptkbp:field |
gptkb:mathematics
geometric measure theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Besicovitch covering theorem
|
| gptkbp:namedAfter |
gptkb:Abram_Besicovitch
|
| gptkbp:sentence |
Given a bounded set in Euclidean space and a family of balls with uniformly bounded radii centered at each point of the set, there exists a countable subfamily covering the set with bounded overlap.
|
| gptkbp:topic |
covering lemma
|
| gptkbp:usedIn |
gptkb:Vitali_covering_theorem
analysis differentiation of measures |
| gptkbp:yearProposed |
1945
|
| gptkbp:bfsParent |
gptkb:Abram_Besicovitch
gptkb:Abraham_Besicovitch |
| gptkbp:bfsLayer |
7
|