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dc.contributor.advisorGutiérrez Marín, Javier J.-
dc.contributor.authorAinsa i Bertran, Marçal-
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Javier J. Gutiérrez Marínca
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
dc.format.extent42 p.-
dc.rightscc-by-nc-nd (c) Marçal Ainsa i Bertran, 2019-
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques-
dc.subject.classificationTreballs de fi de grau-
dc.subject.classificationTeoria del punt fixca
dc.subject.otherBachelor's theses-
dc.subject.otherFixed point theoryen
dc.titleTeoria d'homologia i teoremes de punt fixca
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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