Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:adds |
one extra point
|
| gptkbp:alsoKnownAs |
gptkb:Alexandroff_compactification
|
| gptkbp:appliesTo |
locally compact Hausdorff spaces
|
| gptkbp:category |
gptkb:general_topology
|
| gptkbp:example |
the open disk compactifies to the sphere
the real line compactifies to the circle |
| https://www.w3.org/2000/01/rdf-schema#label |
one-point compactification
|
| gptkbp:namedAfter |
gptkb:Pavel_Alexandrov
|
| gptkbp:notation |
X*
|
| gptkbp:property |
minimal compactification
unique up to homeomorphism |
| gptkbp:purpose |
to compactify a non-compact space
|
| gptkbp:relatedTo |
gptkb:Stone–Čech_compactification
|
| gptkbp:result |
compact Hausdorff space
|
| gptkbp:usedIn |
gptkb:topology
|
| gptkbp:bfsParent |
gptkb:Alexandrov_compactification
|
| gptkbp:bfsLayer |
6
|