Transitivity, dense orbit and discontinuous functions (Q1125272)
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: Transitivity, dense orbit and discontinuous functions |
scientific article; zbMATH DE number 1374973
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transitivity, dense orbit and discontinuous functions |
scientific article; zbMATH DE number 1374973 |
Statements
Transitivity, dense orbit and discontinuous functions (English)
0 references
14 July 2002
0 references
The author addresses the following question: for which type of discontinuous functions are transitivity and existence of dense orbits equivalent? He shows that this is the case for functions \(g:M\to M\) on a Baire separable metric space \(M\) which have at most one point of discontinuity. Moreover he shows that it is false in general if \(g\) has more than one point of discontinuity.
0 references
transitivity
0 references
existence of dense orbits
0 references
discontinuity
0 references
