s-cobordism theorem

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo manifolds of dimension at least 5
gptkbp:concerns gptkb:h-cobordism
gptkb:s-cobordism
gptkbp:field gptkb:topology
differential topology
gptkbp:generalizes gptkb:h-cobordism_theorem
https://www.w3.org/2000/01/rdf-schema#label s-cobordism theorem
gptkbp:introduced gptkb:Barry_Mazur
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Whitehead_torsion
gptkbp:state an h-cobordism between simply connected manifolds of dimension at least 5 is trivial if and only if the Whitehead torsion vanishes
gptkbp:usedIn surgery theory
classification of high-dimensional manifolds
gptkbp:yearProved 1960s
gptkbp:bfsParent gptkb:h-cobordism_theorem
gptkbp:bfsLayer 6