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http://hdl.handle.net/2445/165000| Title: | Teoria dels mòduls de persistència |
| Author: | Gutiérrez von Porat, Nils |
| Director/Tutor: | Mundet i Riera, Ignasi |
| Keywords: | Teoria de mòduls Treballs de fi de grau Topologia algebraica Homologia Teoria de Morse Moduli theory Bachelor's theses Algebraic topology Homology Morse theory |
| Issue Date: | 19-Jan-2020 |
| 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. |
| Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Ignasi Mundet i Riera |
| URI: | http://hdl.handle.net/2445/165000 |
| 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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