Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/148306
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Gutiérrez Marín, Javier J. | - |
dc.contributor.author | Ainsa i Bertran, Marçal | - |
dc.date.accessioned | 2020-01-21T10:22:04Z | - |
dc.date.available | 2020-01-21T10:22:04Z | - |
dc.date.issued | 2019-06-20 | - |
dc.identifier.uri | http://hdl.handle.net/2445/148306 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Javier J. Gutiérrez Marín | ca |
dc.description.abstract | [eng] We have done a study focused at the simplicial homology to acquire the tools needed to proof the fixed-point theorems of Brouwer and Lefschetz. Firstly, we have defined the basic concepts, like simplex, simplicial complex and simplicial approximation. Afterwards, we have studied the concepts chain of simplex and simplicial chain complex in order to reach to the homology groups. The intensive study of the properties of these groups allowed us to characterize topological spaces and finally proof the two fixed-point theorems previously mentioned. | ca |
dc.format.extent | 42 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Marçal Ainsa i Bertran, 2019 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Homologia | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Teoria del punt fix | ca |
dc.subject.other | Homology | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Fixed point theory | en |
dc.title | Teoria d'homologia i teoremes de punt fix | 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 | |
---|---|---|---|---|
TFG-Ainsa-Bertran-Marçal.pdf | Memòria | 580.31 kB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License