Lusternik–Schnirelmann theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
n-sphere
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:hasApplication |
critical point theory
variational problems |
| gptkbp:hasConcept |
category of topological spaces
covering of spheres |
| https://www.w3.org/2000/01/rdf-schema#label |
Lusternik–Schnirelmann theorem
|
| gptkbp:namedAfter |
gptkb:Lazar_Lyusternik
gptkb:Lev_Schnirelmann |
| gptkbp:relatedTo |
gptkb:Lusternik–Schnirelmann_category
gptkb:Borsuk–Ulam_theorem |
| gptkbp:state |
If the n-sphere is covered by n+1 closed sets, then at least one of the sets contains a pair of antipodal points.
|
| gptkbp:yearProposed |
1930
|
| gptkbp:bfsParent |
gptkb:Lev_Shnirelman
|
| gptkbp:bfsLayer |
7
|