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- Morse_theory abstract ""Morse function" redirects here. In another context, a "Morse function" can also mean an anharmonic oscillator: see Morse potentialIn differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold. According to the basic insights of Marston Morse, a typical differentiable function on a manifold will reflect the topology quite directly. Morse theory allows one to find CW structures and handle decompositions on manifolds and to obtain substantial information about their homology.Before Morse, Arthur Cayley and James Clerk Maxwell had developed some of the ideas of Morse theory in the context of topography. Morse originally applied his theory to geodesics (critical points of the energy functional on paths). These techniques were used in Raoul Bott's proof of his periodicity theorem.The analogue of Morse theory for complex manifolds is Picard–Lefschetz theory.".
- Morse_theory thumbnail Saddle_point.png?width=300.
- Morse_theory wikiPageExternalLink 0104155.
- Morse_theory wikiPageExternalLink cayleyconslo.pdf.
- Morse_theory wikiPageExternalLink hcobord.pdf.
- Morse_theory wikiPageExternalLink hilldale.pdf.
- Morse_theory wikiPageExternalLink item?id=PMIHES_1988__68__99_0.
- Morse_theory wikiPageID "348560".
- Morse_theory wikiPageRevisionID "602566862".
- Morse_theory hasPhotoCollection Morse_theory.
- Morse_theory subject Category:Lemmas.
- Morse_theory subject Category:Morse_theory.
- Morse_theory subject Category:Smooth_functions.
- Morse_theory type Abstraction100002137.
- Morse_theory type Communication100033020.
- Morse_theory type Function113783816.
- Morse_theory type Lemma106751833.
- Morse_theory type Lemmas.
- Morse_theory type MathematicalRelation113783581.
- Morse_theory type Message106598915.
- Morse_theory type Proposition106750804.
- Morse_theory type Relation100031921.
- Morse_theory type SmoothFunctions.
- Morse_theory type Statement106722453.
- Morse_theory comment ""Morse function" redirects here. In another context, a "Morse function" can also mean an anharmonic oscillator: see Morse potentialIn differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold. According to the basic insights of Marston Morse, a typical differentiable function on a manifold will reflect the topology quite directly.".
- Morse_theory label "Morse theory".
- Morse_theory label "Morse-theorie".
- Morse_theory label "Morsetheorie".
- Morse_theory label "Théorie de Morse".
- Morse_theory label "Теория Морса".
- Morse_theory label "モース理論".
- Morse_theory label "莫尔斯理论".
- Morse_theory sameAs Morsetheorie.
- Morse_theory sameAs Théorie_de_Morse.
- Morse_theory sameAs モース理論.
- Morse_theory sameAs 모스_이론.
- Morse_theory sameAs Morse-theorie.
- Morse_theory sameAs m.01y_3s.
- Morse_theory sameAs Q2296951.
- Morse_theory sameAs Q2296951.
- Morse_theory sameAs Morse_theory.
- Morse_theory wasDerivedFrom Morse_theory?oldid=602566862.
- Morse_theory depiction Saddle_point.png.
- Morse_theory isPrimaryTopicOf Morse_theory.
