# name
Del teorema de Sard a la teoria de Morse

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Ignasi Mundet i Riera

# metadata.dc.description.abstract[].value
[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.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Jon Ferreras Alegre, 2023

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.subject.classification[].value
Teoria del punt crític (Anàlisi matemàtica)

# metadata.dc.subject.other[].value
Critical point theory (Mathematical analysis)

# metadata.dc.title[].value
Del teorema de Sard a la teoria de Morse