Lyusternik–Schnirelmann category
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:abbreviation |
LS-category
|
| gptkbp:defines |
the minimal number of contractible open sets that cover a topological space, such that each is contractible within the space
|
| gptkbp:describes |
gptkb:topology
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:generalizes |
notion of category in topology
|
| gptkbp:hasProperty |
homotopy invariant
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lyusternik–Schnirelmann category
|
| gptkbp:introducedIn |
1930s
|
| gptkbp:LSCategoryOfContractibleSpace |
1
|
| gptkbp:LSCategoryOfSphere |
2
|
| gptkbp:minimumPressure |
1
|
| gptkbp:namedAfter |
gptkb:Lazar_Lyusternik
gptkb:Lev_Schnirelmann |
| gptkbp:relatedTo |
gptkb:Morse_theory
critical point theory |
| gptkbp:usedIn |
differential topology
homotopy theory |
| gptkbp:bfsParent |
gptkb:Lazar_Lyusternik
|
| gptkbp:bfsLayer |
7
|