Alexandrov's compactification
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:adds |
one point to the space
|
| gptkbp:alsoKnownAs |
gptkb:one-point_compactification
|
| gptkbp:appliesTo |
locally compact Hausdorff spaces
|
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:example |
the real line compactified to the circle (S^1)
|
| gptkbp:firstDescribed |
1920s
|
| https://www.w3.org/2000/01/rdf-schema#label |
Alexandrov's compactification
|
| gptkbp:namedAfter |
gptkb:Pavel_Alexandrov
|
| gptkbp:purpose |
to compactify a non-compact topological space
|
| gptkbp:relatedTo |
gptkb:Stone–Čech_compactification
compactification |
| gptkbp:result |
compact Hausdorff space if original space is locally compact and Hausdorff
|
| gptkbp:usedIn |
gptkb:topology
|
| gptkbp:bfsParent |
gptkb:Soviet_school_of_topology
|
| gptkbp:bfsLayer |
8
|