| dc.contributor.advisor | Guth, Larry | |
| dc.contributor.author | Berdnikov, Aleksandr | |
| dc.date.accessioned | 2022-02-15T17:02:31Z | |
| dc.date.available | 2022-02-15T17:02:31Z | |
| dc.date.issued | 2021-06 | |
| dc.date.submitted | 2021-05-25T12:46:40.184Z | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/140367 | |
| dc.description.abstract | This work focuses on important step in quantitative topology: given homotopic mappings from S^m to S^n of Lipschitz constant L, build the (asymptotically) simplest homotopy between them (meaning having the least Lipschitz constant). The present paper resolves this problem for the first case where Hopf invariant plays a role: m = 3, n = 2, constructing a homotopy with Lipschitz constant O(L). | |
| dc.publisher | Massachusetts Institute of Technology | |
| dc.rights | In Copyright - Educational Use Permitted | |
| dc.rights | Copyright MIT | |
| dc.rights.uri | http://rightsstatements.org/page/InC-EDU/1.0/ | |
| dc.title | Lipschitz homotopies of mappings from 3-sphere to 2-sphere | |
| dc.type | Thesis | |
| dc.description.degree | Ph.D. | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.identifier.orcid | 0000-0002-4709-7802 | |
| mit.thesis.degree | Doctoral | |
| thesis.degree.name | Doctor of Philosophy | |
