Statements (21)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
smooth functions on manifolds
|
gptkbp:describes |
relationship between critical points and topology
|
gptkbp:expressedIn |
inequalities between number of critical points and Betti numbers
|
gptkbp:field |
gptkb:Morse_theory
differential topology |
gptkbp:firstPublished |
1934
|
gptkbp:hasType |
gptkb:weak_Morse_inequalities
strong Morse inequalities |
https://www.w3.org/2000/01/rdf-schema#label |
Morse inequalities
|
gptkbp:namedAfter |
gptkb:Marston_Morse
|
gptkbp:relatedTo |
gptkb:Betti_numbers
homology critical points smooth manifolds |
gptkbp:usedIn |
gptkb:topology
differential geometry |
gptkbp:bfsParent |
gptkb:Marston_Morse_theory
gptkb:Morse_theory gptkb:Differential_Topology |
gptkbp:bfsLayer |
6
|