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 |
gptkb:compactification
|
| gptkbp:example |
Euclidean space compactified to sphere
real line compactified to circle |
| 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
|
| https://www.w3.org/2000/01/rdf-schema#label |
Alexandroff compactification
|