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Bachelor thesis

Publication date

2018-06-27

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cc-by-nc-nd (c) Marta Bustins Molina, 2018
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/125164

Primeres passes cap a la conjectura de Poincaré

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Abstract

[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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Vicenç Navarro, Vicenç Aznar

Subject

Varietats topològiques de dimensió 3, Treballs de fi de grau, Homeomorfismes, Esfera, Àlgebra homològica

Subject (English)

Three-manifolds (Topology), Bachelor's theses, Homeomorphisms, Sphere, Homological algebra

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

BUSTINS MOLINA, Marta. Primeres passes cap a la conjectura de Poincaré. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/125164

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