Mahler's compactness theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:geometry_of_numbers
lattice theory |
| gptkbp:concerns |
lattices in Euclidean space
|
| gptkbp:field |
gptkb:geometry_of_numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mahler's compactness theorem
|
| gptkbp:namedAfter |
gptkb:Kurt_Mahler
|
| gptkbp:publicationYear |
1946
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:state |
the set of lattices in R^n with covolume bounded above and shortest vector length bounded below is compact in the appropriate topology
|
| gptkbp:usedIn |
study of reduction theory of lattices
|
| gptkbp:bfsParent |
gptkb:Kurt_Mahler
|
| gptkbp:bfsLayer |
6
|