Functions that nearly preserve \(G_{\delta}\)-sets (Q1099266)
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: Functions that nearly preserve \(G_{\delta}\)-sets |
scientific article; zbMATH DE number 4040200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functions that nearly preserve \(G_{\delta}\)-sets |
scientific article; zbMATH DE number 4040200 |
Statements
Functions that nearly preserve \(G_{\delta}\)-sets (English)
0 references
1988
0 references
f: [0,1]\(\to R\) is called delta function iff for each \(G_{\delta}\)-set \(X\subset [0,1]\), f(X) is the union of a \(G_{\delta}\)-set with a countable set. The author studies which continuous functions are delta functions and which functions of bounded variation are delta functions.
0 references
continuous functions
0 references
delta functions
0 references
functions of bounded variation
0 references
