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tfg_jon_ferreras_alegre.pdf (876.6 KB)

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Bachelor thesis

Publication date

2023-01-24

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cc-by-nc-nd (c) Jon Ferreras Alegre, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/198640

Del teorema de Sard a la teoria de Morse

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Abstract

[en] Sard’s theorem is a basic result of Differential Topology which is assumed in many texts of this branch of mathematics. In this work we prove it in detail and we study one of its multiple applications: finding the homotopy type of differentiable manifolds through Morse theory, proving along the way that said theory can be applied to every differentiable manifold.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Ignasi Mundet i Riera

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Varietats topològiques, Treballs de fi de grau, Topologia algebraica, Topologia diferencial, Teoria del punt crític (Anàlisi matemàtica)

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Topological manifolds, Bachelor's theses, Algebraic topology, Differential topology, Critical point theory (Mathematical analysis)

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

FERRERAS ALEGRE, Jon. Del teorema de Sard a la teoria de Morse. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/198640

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