Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
computing homology of manifolds
studying topology of manifolds |
| gptkbp:definedIn |
gptkb:Riemannian_manifold
|
| gptkbp:defines |
A smooth real-valued function on a manifold whose critical points are non-degenerate
|
| gptkbp:field |
gptkb:mathematics
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Morse function
|
| gptkbp:namedAfter |
gptkb:Marston_Morse
|
| gptkbp:property |
Hessian at critical points is non-singular
critical points are isolated |
| gptkbp:relatedTo |
gptkb:Morse–Smale_function
gptkb:Morse_lemma critical point Morse index |
| gptkbp:usedIn |
gptkb:Morse_theory
|
| gptkbp:bfsParent |
gptkb:Marston_Morse_theory
gptkb:Morse_theory |
| gptkbp:bfsLayer |
6
|