Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact manifolds
diffeomorphisms |
| gptkbp:field |
dynamical systems
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pugh's closing lemma
|
| gptkbp:namedAfter |
gptkb:Charles_C._Pugh
|
| gptkbp:publishedIn |
gptkb:American_Journal_of_Mathematics
|
| gptkbp:relatedTo |
ergodic theory
structural stability periodic points non-wandering points |
| gptkbp:sentence |
For a diffeomorphism of a compact manifold, every non-wandering point can be approximated by a periodic point via a small perturbation.
|
| gptkbp:yearProposed |
1967
|
| gptkbp:bfsParent |
gptkb:The_closing_lemma
|
| gptkbp:bfsLayer |
7
|