Dehn's lemma

GPTKB entity
AI-created image of Dehn's lemma
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Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:correctProofBy gptkb:Christos_Papakyriakopoulos
gptkbp:field gptkb:topology
3-manifold theory
geometric topology
https://www.w3.org/2000/01/rdf-schema#label Dehn's lemma
gptkbp:importantFor fundamental result in 3-manifold topology
gptkbp:namedAfter gptkb:Max_Dehn
gptkbp:originalProofBy gptkb:Max_Dehn
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:sphere_theorem
3-manifolds
loop theorem
gptkbp:sentence If a simple closed curve on the boundary of a 3-manifold bounds an immersed disk in the manifold, then it bounds an embedded disk.
gptkbp:yearProposed 1910
gptkbp:yearProved 1957
gptkbp:bfsParent gptkb:Max_Dehn
gptkbp:bfsLayer 4