Del teorema de Sard a la teoria de Morse

Vista senzilla d'ítem
dc.contributor.advisorMundet i Riera, Ignasi
dc.contributor.authorFerreras Alegre, Jon
dc.date.accessioned2023-05-30T07:09:12Z
dc.date.available2023-05-30T07:09:12Z
dc.date.issued2023-01-24
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Ignasi Mundet i Rieraca
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.extent50 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/198640
dc.language.isocatca
dc.rightscc-by-nc-nd (c) Jon Ferreras Alegre, 2023
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques
dc.subject.classificationVarietats topològiquesca
dc.subject.classificationTreballs de fi de grau
dc.subject.classificationTopologia algebraicaca
dc.subject.classificationTopologia diferencialca
dc.subject.classificationTeoria del punt crític (Anàlisi matemàtica)ca
dc.subject.otherTopological manifoldsen
dc.subject.otherBachelor's theses
dc.subject.otherAlgebraic topologyen
dc.subject.otherDifferential topologyen
dc.subject.otherCritical point theory (Mathematical analysis)en
dc.titleDel teorema de Sard a la teoria de Morseca
dc.typeinfo:eu-repo/semantics/bachelorThesisca

Fitxers

Paquet original

Mostrant 1 - 1 de 1
Miniatura
Nom:
tfg_jon_ferreras_alegre.pdf
Mida:
876.6 KB
Format:
Adobe Portable Document Format
Descripció:
Memòria
Descarregar

Col·leccions

Treballs Finals de Grau (TFG) - Matemàtiques