Alexandroff compactification
GPTKB entity
Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:topology
|
gptkbp:adds |
one point
|
gptkbp:alsoKnownAs |
gptkb:one-point_compactification
|
gptkbp:appliesTo |
gptkb:locally_compact_Hausdorff_space
|
gptkbp:category |
compactification
|
gptkbp:example |
Euclidean space compactified to sphere
real line compactified to circle |
https://www.w3.org/2000/01/rdf-schema#label |
Alexandroff compactification
|
gptkbp:namedAfter |
gptkb:Pavel_Alexandrov
|
gptkbp:property |
universal property for compactifications
|
gptkbp:purpose |
to compactify non-compact spaces
|
gptkbp:relatedTo |
gptkb:Stone–Čech_compactification
one-point space |
gptkbp:result |
compact Hausdorff space
|
gptkbp:usedIn |
gptkb:mathematics
gptkb:topology |
gptkbp:bfsParent |
gptkb:Paul_Alexandroff
|
gptkbp:bfsLayer |
6
|