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http://hdl.handle.net/2445/198640
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DC Field | Value | Language |
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dc.contributor.advisor | Mundet i Riera, Ignasi | - |
dc.contributor.author | Ferreras Alegre, Jon | - |
dc.date.accessioned | 2023-05-30T07:09:12Z | - |
dc.date.available | 2023-05-30T07:09:12Z | - |
dc.date.issued | 2023-01-24 | - |
dc.identifier.uri | http://hdl.handle.net/2445/198640 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Ignasi Mundet i Riera | ca |
dc.description.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. | ca |
dc.format.extent | 50 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Jon Ferreras Alegre, 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Varietats topològiques | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Topologia algebraica | ca |
dc.subject.classification | Topologia diferencial | ca |
dc.subject.classification | Teoria del punt crític (Anàlisi matemàtica) | ca |
dc.subject.other | Topological manifolds | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Algebraic topology | en |
dc.subject.other | Differential topology | en |
dc.subject.other | Critical point theory (Mathematical analysis) | en |
dc.title | Del teorema de Sard a la teoria de Morse | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_jon_ferreras_alegre.pdf | Memòria | 876.6 kB | Adobe PDF | View/Open |
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