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https://hdl.handle.net/2445/165000Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Mundet i Riera, Ignasi | - |
| dc.contributor.author | Gutiérrez von Porat, Nils | - |
| dc.date.accessioned | 2020-06-10T08:12:38Z | - |
| dc.date.available | 2020-06-10T08:12:38Z | - |
| dc.date.issued | 2020-01-19 | - |
| dc.identifier.uri | https://hdl.handle.net/2445/165000 | - |
| dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Ignasi Mundet i Riera | ca |
| dc.description.abstract | [en] The theory of persistence modules originated in topological data analysis, as an abstract algebraic languange for dealing with persistent homology. The goal in this work is to study this theory. Mainly, we focus on the Normal Form Theorem and the Isometry Theorem. Finally, we define the Morse persistence modules and provide an application in approximating functions on the sphere. | ca |
| dc.format.extent | 49 p. | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | cat | ca |
| dc.rights | cc-by-nc-nd (c) Nils Gutiérrez von Porat, 2020 | - |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
| dc.subject.classification | Teoria de mòduls | ca |
| dc.subject.classification | Treballs de fi de grau | - |
| dc.subject.classification | Topologia algebraica | ca |
| dc.subject.classification | Homologia | ca |
| dc.subject.classification | Teoria de Morse | ca |
| dc.subject.other | Moduli theory | en |
| dc.subject.other | Bachelor's theses | - |
| dc.subject.other | Algebraic topology | en |
| dc.subject.other | Homology | en |
| dc.subject.other | Morse theory | en |
| dc.title | Teoria dels mòduls de persistència | 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 | |
|---|---|---|---|---|
| 165000.pdf | Memòria | 625.47 kB | Adobe PDF | View/Open |
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