On the topology of 3 -manifolds and the Poincaré Conjecture

Home | About RECERCAT | Contact

Català | Castellano

All of RECERCAT

By Communities &
Collections By Defense Date By Authors By Titles By Subject

This Collection

By Defense Date By Authors By Titles By Subject

Statistics

View Statistics All RECERCAT

My RECERCAT

Other repositories directory

RECERCAT Home > Universitat Politècnica de Catalunya > Tesines i projectes i treballs de final de carrera > View document

To access the full text documents, please follow this link: http://hdl.handle.net/2099.1/19221

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Pascual Gainza, Pere
dc.contributor.author	Burjons Pujol, Elisabet
dc.date	2013-07
dc.identifier.uri	http://hdl.handle.net/2099.1/19221
dc.language.iso	eng
dc.publisher	Universitat Politècnica de Catalunya
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria
dc.subject	Algebraic topology
dc.subject	Fundamental group
dc.subject	Covering spaces
dc.subject	Homology
dc.subject	Poincaré Conjecture
dc.subject	Topologia algèbrica
dc.subject	Classificació AMS::55 Algebraic topology::55M Classical topics
dc.title	On the topology of 3 -manifolds and the Poincaré Conjecture
dc.type	info:eu-repo/semantics/bachelorThesis
dc.description.abstract	This work tries to understand the Poincaré conjecture statement and some of the tools that were used and developed towards its proving. It contains a historic introduction that explains how the problem arised and when the main steps towards its solving were maid. then there is a chapter that explains previous concepts about manifolds. In the following chapter the concepts of fundamental group and covering space are defined and also some propositions, theorems and examples of this concepts are provided. Finally there is a homology chapter with the definition of this concepts and some theorems and examples. And, to end with, a descriptive chapter about further developments in the conjecture
dc.description.abstract	La conjectura de Poincaré sobre la caracterització topològica de l'esfera és actualment un teorema. El treball analitzarà la conjectura i els elements principals que intervenen en la seva demostració.

Show simple item record

All of RECERCAT

This Collection

Statistics

My RECERCAT

Related documents

Other documents of the same author