Homology of coverings of fibre bundles
| dc.contributor.advisor | Hempel, John | en_US |
| dc.contributor.committeeMember | Wolfson, Jon | en_US |
| dc.contributor.committeeMember | Flapan, Erica | en_US |
| dc.creator | Chang, Shu-Chu | en_US |
| dc.date.accessioned | 2018-12-18T21:26:02Z | en_US |
| dc.date.available | 2018-12-18T21:26:02Z | en_US |
| dc.date.issued | 1985 | en_US |
| dc.description.abstract | We give a procedure for computing the rank of the first homology group of any finite sheeted covering space M of a fiber bundle M (over S1). Using the associated free abelian groups Fix g* and Fix g1, we find both upper and lower bounds for the rank of H1(M). In particular, using the free differential calculus and the Reidemeister-Schreier method, we derive a formula for computing rank H1(M) directly in a specific case. | en_US |
| dc.format.digitalOrigin | reformatted digital | en_US |
| dc.format.extent | 61 pp | en_US |
| dc.identifier.callno | Thesis Math. 1985 Chang | en_US |
| dc.identifier.citation | Chang, Shu-Chu. "Homology of coverings of fibre bundles." (1985) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104584">https://hdl.handle.net/1911/104584</a>. | en_US |
| dc.identifier.digital | RICE2219 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/104584 | 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 | Homology of coverings of fibre bundles | 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 |
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