Topics In Nonabelian Tensor Products Of Topological Groups

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dc.contributor.advisorRusso, Francesco
dc.contributor.authorRamabulana, Mita D
dc.date.accessioned2022-03-11T08:13:54Z
dc.date.available2022-03-11T08:13:54Z
dc.date.issued2021
dc.date.updated2022-03-11T08:12:58Z
dc.description.abstractThe well-known notion of tensor product is used to describe multilinear relations between objects and enjoys many applications in pure and applied mathematics. The tensor product has been studied extensively in linear algebra with generalisations to abstract abelian group theory and modules. In this MSc thesis we study further generalisations of tensor products to non-abelian groups as well as topological groups. We encounter a rich existing theory of compact topological groups, which we are going to investigate. Finally we consider some recent problems in the theory of nonabelian tensor products of topological groups, showing a series of relevant connections between algebraic topology, topological group theory, and homological algebra
dc.identifier.apacitationRamabulana, M. D. (2021). <i>Topics In Nonabelian Tensor Products Of Topological Groups</i>. (). ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/36049en_ZA
dc.identifier.chicagocitationRamabulana, Mita D. <i>"Topics In Nonabelian Tensor Products Of Topological Groups."</i> ., ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2021. http://hdl.handle.net/11427/36049en_ZA
dc.identifier.citationRamabulana, M.D. 2021. Topics In Nonabelian Tensor Products Of Topological Groups. . ,Faculty of Science ,Department of Mathematics and Applied Mathematics. http://hdl.handle.net/11427/36049en_ZA
dc.identifier.ris TY - Master Thesis AU - Ramabulana, Mita D AB - The well-known notion of tensor product is used to describe multilinear relations between objects and enjoys many applications in pure and applied mathematics. The tensor product has been studied extensively in linear algebra with generalisations to abstract abelian group theory and modules. In this MSc thesis we study further generalisations of tensor products to non-abelian groups as well as topological groups. We encounter a rich existing theory of compact topological groups, which we are going to investigate. Finally we consider some recent problems in the theory of nonabelian tensor products of topological groups, showing a series of relevant connections between algebraic topology, topological group theory, and homological algebra DA - 2021 DB - OpenUCT DP - University of Cape Town KW - Applied Mathematics LK - https://open.uct.ac.za PY - 2021 T1 - Topics In Nonabelian Tensor Products Of Topological Groups TI - Topics In Nonabelian Tensor Products Of Topological Groups UR - http://hdl.handle.net/11427/36049 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/36049
dc.identifier.vancouvercitationRamabulana MD. Topics In Nonabelian Tensor Products Of Topological Groups. []. ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2021 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/36049en_ZA
dc.language.rfc3066eng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.subjectApplied Mathematics
dc.titleTopics In Nonabelian Tensor Products Of Topological Groups
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationlevelMSc
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