On the magnitude of metric spaces -
| dc.contributor.author | El Khatib, Ola Ghassan | |
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.faculty | Faculty of Arts and Sciences | |
| dc.contributor.institution | American University of Beirut | |
| dc.date | 2015 | |
| dc.date.accessioned | 2017-08-30T14:06:29Z | |
| dc.date.available | 2017-08-30T14:06:29Z | |
| dc.date.issued | 2015 | |
| dc.date.submitted | 2015 | |
| dc.description | Thesis. M.S. American University of Beirut. Department of Mathematics, 2015. T:6245 | |
| dc.description | Advisor : Dr. Farouk Abi-Khuzam, Professor, Mathematics ; Members of Committee : Dr. Florian Jacques Bertrand, Assistant Professor, Mathematics ; Dr. Tamer Tlas, Assistant Professor, Mathematics. | |
| dc.description | Includes bibliographical references (leaf 29) | |
| dc.description.abstract | In this thesis, we consider the magnitude of finite metric spaces and that of compact subsets of Euclidean spaces. We will consider an extension of the definition of finite spaces to compact metric spaces using three different approaches. Our contribution to this work consists in giving new proofs for the magnitude of segments and general compact sets of R. In addition, we give a presentation of the proof that the magnitude dimension of compact subsets of Euclidean space is equal to the Minkowski dimension. | |
| dc.format.extent | 1 online resource (vii, 29 leaves) : illustrations ; 30cm | |
| dc.identifier.other | b18349420 | |
| dc.identifier.uri | http://hdl.handle.net/10938/10678 | |
| dc.language.iso | en | |
| dc.relation.ispartof | Theses, Dissertations, and Projects | |
| dc.subject.classification | T:006245 | |
| dc.subject.lcsh | Metric spaces. | |
| dc.subject.lcsh | Euler characteristic. | |
| dc.subject.lcsh | Compact spaces. | |
| dc.title | On the magnitude of metric spaces - | |
| dc.type | Thesis |