On Foran's conditions A(N), B(N) and (M) (Q1073197)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On Foran's conditions A(N), B(N) and (M) |
scientific article; zbMATH DE number 3944180
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Foran's conditions A(N), B(N) and (M) |
scientific article; zbMATH DE number 3944180 |
Statements
On Foran's conditions A(N), B(N) and (M) (English)
0 references
1984
0 references
The author gives an example of continuous functions \(F, G\), satisfying the Luzin's condition (N) and Foran's condition B(2) on the Cantor ternary set \(C\), which are A(n) on no portion of \(C\), for any natural \(n\). Moreover, \(F'=-G'\) a.e. in \([0,1],\) but \(F+G\) is not constant. \(F, G\) have also some other properties.
0 references
Luzin's condition (N)
0 references
Foran's condition
0 references
Cantor ternary set
0 references
0 references
0.8672818
0 references
0.84870255
0 references
0 references
0.83539844
0 references
0 references
