Rodríguez Navarrete, Julia Nathaly (2023) Teoría de Morse y sus Aplicaciones en n-variedades Topológicas. Other thesis, Universidad de El Salvador.

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Abstract

En el presente trabajo de investigación se habla de la teoría de morse y sus aplicaciones en 3-manifolds. se presentan los hechos básicos sobre la teoría de morse y sus principales definiciones y ejemplos. para introducirnos en las 3-variedades y ver cómo se utiliza la teoría de morse para las transformaciones de las superficies. ABSTRACT: The objective of differential topology consists in the study of the global properties of differentiable differentiable Manifold. Therefore, it is not surprising that during the first thirty years of the last century, topologists focused on the development of algebraic and combinatorial methods to determine topological invariants that would shorten the process of their calculation. In this research we look at Morse’s theory in a basic way by mentioning the basic definitions, Morse’s inequalities and Morse’s inequalities. Morse’s inequalities and Morse’s theorem. this work is divided into 4 chapters of which the first 3 are the body of our research in which is the development of Morse theory and in the fourth chapter we conclude with the applications in 3-manifold which is the main objective of our research.

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