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gptkbp:instanceOf
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gptkb:logic
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gptkbp:appliesTo
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smooth manifolds
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gptkbp:describes
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changes in topology of level sets
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gptkbp:field
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gptkb:mathematics
differential topology
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gptkbp:generalizes
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gptkb:Floer_homology
gptkb:Morse–Bott_theory
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gptkbp:hasApplication
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gptkb:topology
differential geometry
mathematical physics
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gptkbp:hasConcept
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gptkb:Cerf_theory
gptkb:Floer_homology
gptkb:Morse–Bott–Cerf_theory
gptkb:Morse–Bott–Floer_theory
gptkb:Morse–Bott–Novikov_theory
gptkb:Morse–Bott–Sard_theorem
gptkb:Morse–Bott–Smale_theory
gptkb:Morse–Bott–Thom_theorem
gptkb:Morse–Bott–Witten_complex
gptkb:Morse–Bott–Witten_theory
gptkb:Morse–Bott_function
gptkb:Morse–Bott_theory
gptkb:Morse–Novikov_theory
gptkb:Morse–Palais_lemma
gptkb:Morse–Smale_system
gptkb:Morse–Thom_theorem
gptkb:Morse–Witten_complex
gptkb:Morse–Witten_theory
gptkb:Morse_complex
gptkb:Morse_function
gptkb:Morse_homology
gptkb:Morse_inequalities
gptkb:Morse_lemma
gptkb:Reeb_theorem
gptkb:Morse–Sard_theorem
cell decomposition
critical points
gradient flow
handle attachment
index of critical point
non-degenerate critical points
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https://www.w3.org/2000/01/rdf-schema#label
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Morse theory
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gptkbp:introducedIn
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1920s
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gptkbp:namedAfter
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gptkb:Marston_Morse
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gptkbp:relatedTo
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gptkb:Reeb_graph
homology
handlebody decomposition
homotopy
critical value
index of a critical point
topology of manifolds
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gptkbp:studies
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critical points of smooth functions
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gptkbp:uses
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Morse functions
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gptkbp:bfsParent
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gptkb:Harold_Calvin_Marston_Morse
gptkb:Heegaard_splitting
gptkb:Marston_Morse
gptkb:Milnor_number
gptkb:Differential_geometry
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gptkbp:bfsLayer
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5
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