Topics of entropy in locally compact abelian groups
| dc.contributor.advisor | Russo, Francesco G | |
| dc.contributor.author | Waka, Olwethu | |
| dc.date.accessioned | 2022-03-22T09:50:49Z | |
| dc.date.available | 2022-03-22T09:50:49Z | |
| dc.date.issued | 2021 | |
| dc.date.updated | 2022-03-22T07:54:02Z | |
| dc.description.abstract | The present MSc thesis discusses some notions of abelian group theory in connection with recent topics of topological entropy of locally compact abelian groups. It has been used the reference of [D. J. S. Robinson, A Course in the Theory of Groups, Springer, 1996, New York], which is a classical textbook in group theory. A list of exercises, relevant to our purposes, has been selected, in order to introduce some recent aspects of topological entropy of locally compact abelian groups. It is worth to mention that many of the exercises, which have been solved in the present thesis, are subject to technicalities which require the application of theorems of decomposition for abelian groups. Therefore the logic of the solutions allows us to describe the topological entropy in presence of an appropriate factorization. | |
| dc.identifier.apacitation | Waka, O. (2021). <i>Topics of entropy in locally compact abelian groups</i>. (). ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/36191 | en_ZA |
| dc.identifier.chicagocitation | Waka, Olwethu. <i>"Topics of entropy in locally compact abelian groups."</i> ., ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2021. http://hdl.handle.net/11427/36191 | en_ZA |
| dc.identifier.citation | Waka, O. 2021. Topics of entropy in locally compact abelian groups. . ,Faculty of Science ,Department of Mathematics and Applied Mathematics. http://hdl.handle.net/11427/36191 | en_ZA |
| dc.identifier.ris | TY - Master Thesis AU - Waka, Olwethu AB - The present MSc thesis discusses some notions of abelian group theory in connection with recent topics of topological entropy of locally compact abelian groups. It has been used the reference of [D. J. S. Robinson, A Course in the Theory of Groups, Springer, 1996, New York], which is a classical textbook in group theory. A list of exercises, relevant to our purposes, has been selected, in order to introduce some recent aspects of topological entropy of locally compact abelian groups. It is worth to mention that many of the exercises, which have been solved in the present thesis, are subject to technicalities which require the application of theorems of decomposition for abelian groups. Therefore the logic of the solutions allows us to describe the topological entropy in presence of an appropriate factorization. DA - 2021_ DB - OpenUCT DP - University of Cape Town KW - Mathematics and Applied Mathematics LK - https://open.uct.ac.za PY - 2021 T1 - Topics of entropy in locally compact abelian groups TI - Topics of entropy in locally compact abelian groups UR - http://hdl.handle.net/11427/36191 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/36191 | |
| dc.identifier.vancouvercitation | Waka O. Topics of entropy in locally compact abelian groups. []. ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2021 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/36191 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | Department of Mathematics and Applied Mathematics | |
| dc.publisher.faculty | Faculty of Science | |
| dc.subject | Mathematics and Applied Mathematics | |
| dc.title | Topics of entropy in locally compact abelian groups | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationlevel | MSc |