Morse lemma

GPTKB entity

Statements (12)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo smooth functions
gptkbp:describes local behavior of non-degenerate critical points
gptkbp:field differential topology
https://www.w3.org/2000/01/rdf-schema#label Morse lemma
gptkbp:introducedIn 1930s
gptkbp:namedAfter gptkb:Marston_Morse
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:state near a non-degenerate critical point, a smooth function is equivalent to a quadratic form
gptkbp:usedIn gptkb:Morse_theory
gptkbp:bfsParent gptkb:Morse_theory
gptkbp:bfsLayer 6