Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth manifolds
|
| gptkbp:field |
differential topology
|
| gptkbp:formedBy |
gptkb:Marston_Morse
|
| gptkbp:hasStrongerForm |
strong Morse inequalities
|
| https://www.w3.org/2000/01/rdf-schema#label |
weak Morse inequalities
|
| gptkbp:relatedTo |
gptkb:Betti_numbers
gptkb:Morse_theory critical points of smooth functions |
| gptkbp:state |
the number of critical points of index k is at least the k-th Betti number
|
| gptkbp:bfsParent |
gptkb:Morse_inequalities
|
| gptkbp:bfsLayer |
7
|