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Teoría de Morse discreta
- Autor/a
- Vilas Taboada, María Cristina
There exists a close relation between the critical points of a differentiable function on a differentiable manifold and the Homotopic type of the same as it was proven by Milnor in 1963 following ideas of the Marston Morse’ seminal paper: “The calculus of variations in the large”. All of this is now known as “The Morse Theory”. The development of the computational capacity has been propitiating from the 60s of the twentieth century an incorporation of computational methods to the algebraic topology. In particular, this movement led in 1998 to the Forman’s development of a “discrete” version of “The Morse Theory”. The main objective of this TFM is the brief presentation of the discrete Morse theory, the existing relations between both theories (classical and discrete) and some of their applications.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Publication Year
- 2018
- Serie
- 136b Publicaciones del Departamento de Geometría y Topología
- Availability
- Si
There exists a close relation between the critical points of a differentiable function on a differentiable manifold and the Homotopic type of the same as it was proven by Milnor in 1963 following ideas of the Marston Morse’ seminal paper: “The calculus of variations in the large”. All of this is now known as “The Morse Theory”. The development of the computational capacity has been propitiating from the 60s of the twentieth century an incorporation of computational methods to the algebraic topology. In particular, this movement led in 1998 to the Forman’s development of a “discrete” version of “The Morse Theory”. The main objective of this TFM is the brief presentation of the discrete Morse theory, the existing relatio