Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact manifolds
|
| gptkbp:concerns |
ergodicity
measure-preserving homeomorphisms |
| gptkbp:field |
gptkb:topology
ergodic theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Oxtoby-Ulam theorem
|
| gptkbp:namedAfter |
gptkb:Stanislaw_Ulam
John C. Oxtoby |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:sentence |
In a compact manifold, the set of homeomorphisms that are ergodic with respect to Lebesgue measure is residual in the space of all homeomorphisms preserving the measure.
|
| gptkbp:yearProved |
1941
|
| gptkbp:bfsParent |
gptkb:John_Oxtoby
|
| gptkbp:bfsLayer |
6
|