Representations of low dimensional manifolds as branched coverings of spheres
| dc.contributor.advisor | Hempel, John | en_US |
| dc.contributor.committeeMember | Dunbar, William;Flapan, Erica | en_US |
| dc.creator | Austin, David M. | en_US |
| dc.date.accessioned | 2018-12-18T21:28:33Z | en_US |
| dc.date.available | 2018-12-18T21:28:33Z | en_US |
| dc.date.issued | 1984 | en_US |
| dc.description.abstract | We show that any 2- or 3-dimensional manifold is a branched covering of the sphere branched over a universal branching set. Using the associated unbranched covering, we show that there is a one-to-one correspondence between these branched coverings and pairs of permutations. In particular, this gives a means of studying manifolds. The goal of this work is to determine how much information about the manifold is readily accessible from the permutations. | en_US |
| dc.format.digitalOrigin | reformatted digital | en_US |
| dc.format.extent | 125 pp | en_US |
| dc.identifier.callno | Thesis Math. 1984 Austin | en_US |
| dc.identifier.citation | Austin, David M.. "Representations of low dimensional manifolds as branched coverings of spheres." (1984) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104682">https://hdl.handle.net/1911/104682</a>. | en_US |
| dc.identifier.digital | RICE2318 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/104682 | en_US |
| dc.language.iso | eng | en_US |
| dc.rights | Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. | en_US |
| dc.title | Representations of low dimensional manifolds as branched coverings of spheres | en_US |
| dc.type | Thesis | en_US |
| dc.type.material | Text | en_US |
| thesis.degree.department | Mathematics | en_US |
| thesis.degree.discipline | Natural Sciences | en_US |
| thesis.degree.grantor | Rice University | en_US |
| thesis.degree.level | Masters | en_US |
| thesis.degree.name | Master of Arts | en_US |
Files
Original bundle
1 - 1 of 1