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Statements (18)
Predicate | Object |
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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
|