\(\omega\)-Limit sets for triangular mappings (Q2717638)
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: \(\omega\)-Limit sets for triangular mappings |
scientific article; zbMATH DE number 1605233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\omega\)-Limit sets for triangular mappings |
scientific article; zbMATH DE number 1605233 |
Statements
17 June 2001
0 references
triangular map
0 references
Peano continuum
0 references
limit set
0 references
\(\omega\)-Limit sets for triangular mappings (English)
0 references
The authors consider triangular maps on the unit square, i.e. maps of the form: \((x,y) \rightarrow (f(x),g(x,y))\). They establish natural conditions for a non-trivial Peano continuum (or a finite union of Peano continua) to be a limit set of some triangular map. They also note that such characterization for non-Peano continuum might be difficult.
0 references
