Luzin's topological problem (Q2405059)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Luzin's topological problem |
scientific article |
Statements
Luzin's topological problem (English)
0 references
21 September 2017
0 references
A mapping \(f\) is called resolvably measurable if the inverse images of open sets are resolvable sets. In the paper, it is shown that each resolvably measurable function \(f: X\to Y\) between subsets \(X\) and \(Y\) of the Cantor set \(C\) is countably continuous.
0 references
Luzin's poblem
0 references
Borel measurable function
0 references
decomposing
0 references
resolvable sets
0 references
