PL Schoenflies theorem

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo n ≥ 2
gptkbp:category geometric topology
gptkbp:concerns homeomorphism
embedding of spheres
piecewise-linear homeomorphism
gptkbp:dimensions n-dimensional
gptkbp:field gptkb:topology
piecewise-linear topology
gptkbp:generalizes classical Schoenflies theorem
https://www.w3.org/2000/01/rdf-schema#label PL Schoenflies theorem
gptkbp:provenBy gptkb:J._H._C._Whitehead
gptkbp:relatedTo gptkb:Jordan–Schoenflies_theorem
gptkb:Schoenflies_theorem
gptkbp:state Every PL embedding of an (n−1)-sphere in n-dimensional Euclidean space bounds a PL n-ball
gptkbp:bfsParent gptkb:The_smooth_Schoenflies_problem
gptkbp:bfsLayer 7