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dc.contributor.advisorGuth, Larry
dc.contributor.authorBerdnikov, Aleksandr
dc.date.accessioned2022-02-15T17:02:31Z
dc.date.available2022-02-15T17:02:31Z
dc.date.issued2021-06
dc.date.submitted2021-05-25T12:46:40.184Z
dc.identifier.urihttps://hdl.handle.net/1721.1/140367
dc.description.abstractThis 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.publisherMassachusetts Institute of Technology
dc.rightsIn Copyright - Educational Use Permitted
dc.rightsCopyright MIT
dc.rights.urihttp://rightsstatements.org/page/InC-EDU/1.0/
dc.titleLipschitz homotopies of mappings from 3-sphere to 2-sphere
dc.typeThesis
dc.description.degreePh.D.
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.identifier.orcid0000-0002-4709-7802
mit.thesis.degreeDoctoral
thesis.degree.nameDoctor of Philosophy


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