Übersetzung für '
Morse theory' von Englisch nach Deutsch
23 Übersetzungen
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Anwendungsbeispiele Englisch
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- The first clear general statements were given by Marston Morse in the 1920s and 1930s, leading to what is now known as Morse theory.
- Combinatorial analogs of concepts and methods in topology are used to study graph coloring, fair division, partitions, partially ordered sets, decision trees, necklace problems and discrete Morse theory.
- Smale is also known for injecting Morse theory into mathematical economics, as well as recent explorations of various theories of computation.
- Handlebodies play an important role in Morse theory, cobordism theory and the surgery theory of high-dimensional manifolds.
- Assuming smoothness the existence of a Heegaard splitting also follows from the work of Smale about handle decompositions from Morse theory.
- could possess (this should be compared with the result in Morse theory that shows that the sum of the Betti numbers is a lower bound for the number of critical points of a Morse function).
- The classification of symplectic manifolds is done via Floer homology—this is an application of Morse theory to the action functional for maps between Lagrangian submanifolds.
- However, more can be said from the point of view of Morse theory.
- Atiyah and R. Bott used Morse theory and the Yang–Mills equations over a Riemann surface to reproduce and extending the results of Harder and Narasimhan.
- In mathematics, specifically in differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.
- He studied the homotopy theory of Lie groups, using methods from Morse theory, leading to the Bott periodicity theorem (1957).
- on Morse theory, [...] found another proof, using Deligne's "l"-adic Fourier transform, which allowed him to simplify Deligne's proof by avoiding the use of the method of Hadamard and de la Vallée Poussin.
- Floer homology, based on Witten's Morse theory ideas; for the case when the boundary conditions are over the interval instead of being periodic, the path initial and end-points lie on two fixed Lagrangian submanifolds.
© dict.cc English-German dictionary 2024
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