- Morse theory
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The study of differentiable functions, the domain of each of which is a manifold and the codomain is the real line.
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Morse theory
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Morse theory — Morse function redirects here. In another context, a Morse function can also mean an anharmonic oscillator: see Morse potential In differential topology, the techniques of Morse theory give a very direct way of analyzing the topology of a… … Wikipedia
Discrete Morse theory — is a combinatorial adaptation of Morse theory defined on finite CW complexes. Contents 1 Notation regarding CW complexes 2 Discrete Morse functions 3 The Morse complex … Wikipedia
Digital Morse theory — In mathematics, digital Morse theory [1] is a digital adaptation of continuum Morse theory for scalar volume data. The main utility of a digital Morse theory is that it serves to provide a theoretical basis for isosurfaces, and perpendicular… … Wikipedia
Circle-valued Morse theory — In mathematics, circle valued Morse theory studies the topology of a smooth manifold by analyzing the critical points of smooth maps from the manifold to the circle, in the framework of Morse homology. It is an important special case of Sergei… … Wikipedia
Morse — can refer to: Morse code, a method of coding messages into long and short beeps Contents 1 People 2 Places 3 Buildings 4 Other uses … Wikipedia
Morse homology — In mathematics, specifically in the field of differential topology, Morse homology is a homology theory defined for any smooth manifold. It is constructed using the smooth structure and an auxiliary metric on the manifold, but turns out to be… … Wikipedia
Morse-Theorie — Die Morsetheorie aus dem Bereich der Differentialtopologie gibt einen sehr direkten Zugang zur Analyse der Topologie einer Mannigfaltigkeit über das Studium differenzierbarer Funktionen auf dieser Mannigfaltigkeit. Die wesentlichen Einsichten… … Deutsch Wikipedia
Morse–Smale system — In dynamical systems theory, an area of applied mathematics, a Morse–Smale system is a smooth dynamical system whose non wandering set consists of finitely many hyperbolic equilibrium points and hyperbolic periodic orbits and satisfying a… … Wikipedia
Morse-Palais lemma — In mathematics, the Morse Palais lemma is a result in the calculus of variations and theory of Hilbert spaces. Roughly speaking, it states that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable… … Wikipedia
Morse–Palais lemma — In mathematics, the Morse–Palais lemma is a result in the calculus of variations and theory of Hilbert spaces. Roughly speaking, it states that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable… … Wikipedia
