Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
families of holomorphic functions
|
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Montel's theorem
|
| gptkbp:implies |
every sequence in a normal family has a subsequence converging uniformly on compact sets
|
| gptkbp:namedAfter |
gptkb:Paul_Montel
|
| gptkbp:publishedIn |
early 20th century
|
| gptkbp:relatedTo |
gptkb:Arzelà–Ascoli_theorem
normal family |
| gptkbp:state |
every normal family of holomorphic functions is relatively compact in the topology of uniform convergence on compact sets
|
| gptkbp:usedIn |
proof of Picard's theorem
proof of Riemann mapping theorem |
| gptkbp:bfsParent |
gptkb:Hurwitz's_theorem_(complex_analysis)
gptkb:Osgood's_lemma gptkb:Komplexe_Analysis |
| gptkbp:bfsLayer |
6
|