Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth manifolds
|
| gptkbp:describes |
relationship between critical points of a smooth function and the topology of the underlying manifold
|
| gptkbp:field |
gptkb:Morse_theory
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Morse–Thom theorem
|
| gptkbp:namedAfter |
gptkb:Marston_Morse
gptkb:Rene_Thom |
| gptkbp:relatedTo |
homology of manifolds
|
| gptkbp:state |
the number of critical points of a Morse function is bounded below by the Betti numbers of the manifold
|
| gptkbp:bfsParent |
gptkb:Morse_theory
|
| gptkbp:bfsLayer |
6
|