Some combinatorial aspects in algebraic topology and geometric group theory

dc.contributor.authorBavuma, Yanga
dc.date.accessioned2019-02-22T11:34:56Z
dc.date.available2019-02-22T11:34:56Z
dc.date.issued2018
dc.date.updated2019-02-21T10:38:21Z
dc.description.abstractThe present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from this reference, whose solutions were not directly available, or subject to differerent methods. In fact combinatorial methods have been preferred and the result is a self-contained dissertation on the theory of the fundamental group and of the coverings. Finally, there are some recent problems in geometric group theory which are related to the presence of finitely presented groups which appear naturally as fundamental groups.
dc.identifier.apacitationBavuma, Y. (2018). <i>Some combinatorial aspects in algebraic topology and geometric group theory</i>. (). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/29763en_ZA
dc.identifier.chicagocitationBavuma, Yanga. <i>"Some combinatorial aspects in algebraic topology and geometric group theory."</i> ., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2018. http://hdl.handle.net/11427/29763en_ZA
dc.identifier.citationBavuma, Y. 2018. Some combinatorial aspects in algebraic topology and geometric group theory. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Bavuma, Yanga AB - The present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from this reference, whose solutions were not directly available, or subject to differerent methods. In fact combinatorial methods have been preferred and the result is a self-contained dissertation on the theory of the fundamental group and of the coverings. Finally, there are some recent problems in geometric group theory which are related to the presence of finitely presented groups which appear naturally as fundamental groups. DA - 2018 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2018 T1 - Some combinatorial aspects in algebraic topology and geometric group theory TI - Some combinatorial aspects in algebraic topology and geometric group theory UR - http://hdl.handle.net/11427/29763 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/29763
dc.identifier.vancouvercitationBavuma Y. Some combinatorial aspects in algebraic topology and geometric group theory. []. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2018 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/29763en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematics
dc.titleSome combinatorial aspects in algebraic topology and geometric group theory
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMSc
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