| Publication Type |
honors thesis |
| School or College |
College of Science |
| Department |
Mathematics |
| Author |
Larson, Kyle |
| Title |
Proof of the Birman exact sequence |
| Date |
2009-05 |
| Description |
We will prove the Birman exact sequence as motivated by the study of mapping class groups. In order to do so we introduce basic concepts and theorems about surfaces, exact sequences, mapping class groups, higher dimensional homotopy groups, and fiber bundles. In particular, the proof of the Birman exact sequence depends heavily on the long exact sequence of homotopy groups of a fiber bundle, and a majority of the thesis is devoted to establishing this sequence. |
| Publisher |
University of Utah |
| Subject |
Sequences (Mathematics;); Surfaces |
| Dissertation Institution |
University of Utah |
| Dissertation Name |
Honors BS |
| Language |
eng |
| Relation is Version of |
Digital reproduction of "Proof of the Birman exact sequence" J. Willard Marriott Library Special Collections QA3.5 2009 .L37 |
| Rights Management |
© Kyle Larson, To comply with copyright, the file for this work may be restricted to The University of Utah campus libraries pending author permission. |
| Format Medium |
application/pdf |
| Format Extent |
75,621 bytes |
| Identifier |
us-etd2,150023 |
| Source |
Original: University of Utah J. Willard Marriott Library Special Collections |
| Conversion Specifications |
Original scanned on Epson GT-30000 as 400 dpi to pdf using ABBYY FineReader 9.0 Professional Edition. |
| ARK |
ark:/87278/s6417bkh |
| Setname |
ir_etd |
| ID |
192618 |
| Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6417bkh |
