Topological classification of compact two dimensional hyperreal manifolds -
| dc.contributor.author | Al-Ahmadieh, Abeer Kamal | |
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.faculty | Faculty of Arts and Sciences | |
| dc.contributor.institution | American University of Beirut | |
| dc.date | 2016 | |
| dc.date.accessioned | 2017-08-30T14:30:51Z | |
| dc.date.available | 2017-08-30T14:30:51Z | |
| dc.date.issued | 2016 | |
| dc.date.submitted | 2016 | |
| dc.description | Thesis. M.S. American University of Beirut. Department of Mathematics, 2016. T:6404 | |
| dc.description | Advisor : Dr. Tlas Tamer, Associate Professor, Mathematics ; Committee members : Dr. Egeileh Michel, Assistant Professor, Mathematics ; Dr. Florian Bertrand, Assistant Professor, Mathematics. | |
| dc.description | Includes bibliographical references (leaf 100) | |
| dc.description.abstract | In this thesis we aim to extend the classical result on the classification of compact, two dimensional manifolds to the Hyperreal cases. The tools used are nonstandard analysis, as well as the analogue of the triangulation theorem for compact surfaces. | |
| dc.format.extent | 1 online resource (vii, 100 leaves) : color illustrations | |
| dc.identifier.other | b18691821 | |
| dc.identifier.uri | http://hdl.handle.net/10938/11178 | |
| dc.language.iso | en | |
| dc.relation.ispartof | Theses, Dissertations, and Projects | |
| dc.subject.classification | T:006404 | |
| dc.subject.lcsh | Manifolds (Mathematics) | |
| dc.subject.lcsh | Topology. | |
| dc.subject.lcsh | Nonstandard mathematical analysis. | |
| dc.title | Topological classification of compact two dimensional hyperreal manifolds - | |
| dc.type | Thesis |