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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
Teoria de Morse
Moduli theory
Bachelor's theses
Algebraic topology
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
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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