Reeb stability theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo codimension one foliations
gptkbp:concerns manifolds
foliations
gptkbp:field differential topology
https://www.w3.org/2000/01/rdf-schema#label Reeb stability theorem
gptkbp:implies local stability of compact leaves with finite holonomy
gptkbp:namedAfter gptkb:Georges_Reeb
gptkbp:publishedIn gptkb:Annales_de_l'Institut_Fourier
gptkbp:state A compact leaf with finite holonomy in a foliation has a neighborhood consisting entirely of compact leaves diffeomorphic to it.
gptkbp:yearProposed 1948
gptkbp:bfsParent gptkb:Georges_Reeb
gptkbp:bfsLayer 6