Navarro, Vicenç (Navarro Aznar)Bustins Molina, Marta2018-10-092018-10-092018-06-27https://hdl.handle.net/2445/125164Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Vicenç Navarro, Vicenç Aznar[en] The first Poincaré conjecture asserts that homology is sufficient to tell if a $n$-manifold is homeomorphic to a hypersphere. We describe a counterexample, named Poincaré homology sphere. Finnaly, we introduce new hypothesis to enunciate the last Poincaré conjecture.48 p.application/pdfcatcc-by-nc-nd (c) Marta Bustins Molina, 2018http://creativecommons.org/licenses/by-nc-nd/3.0/es/Varietats topològiques de dimensió 3Treballs de fi de grauHomeomorfismesEsferaÀlgebra homològicaThree-manifolds (Topology)Bachelor's thesesHomeomorphismsSphereHomological algebrainfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess