Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact space
monotone sequence of continuous functions |
| gptkbp:concerns |
uniform convergence
|
| gptkbp:field |
mathematical analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dini's theorem
|
| gptkbp:namedAfter |
gptkb:Ulisse_Dini
|
| gptkbp:state |
If a monotone sequence of continuous real-valued functions on a compact space converges pointwise to a continuous function, then the convergence is uniform.
|
| gptkbp:yearProposed |
1878
|
| gptkbp:bfsParent |
gptkb:Ulisse_Dini
gptkb:Real_Analysis |
| gptkbp:bfsLayer |
7
|