| dc.contributor.author | Guth, Lawrence | |
| dc.date.accessioned | 2015-01-15T19:16:48Z | |
| dc.date.available | 2015-01-15T19:16:48Z | |
| dc.date.issued | 2013-08 | |
| dc.date.submitted | 2013-04 | |
| dc.identifier.issn | 1016-443X | |
| dc.identifier.issn | 1420-8970 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/92898 | |
| dc.description.abstract | We construct homotopically non-trivial maps from S[superscript m] to S[superscript m−1] with arbitrarily small k-dilation for each k > [(m + 1) over 2]. We prove that homotopically non-trivial maps from S[superscript m] to S[superscript m−1] cannot have arbitrarily small k-dilation for k ≤ [(m + 1) over 2]. | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Springer-Verlag | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s00039-013-0246-3 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Contraction of Areas vs. Topology of Mappings | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Guth, Larry. “Contraction of Areas Vs. Topology of Mappings.” Geometric and Functional Analysis 23, no. 6 (December 2013): 1804–1902. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Guth, Lawrence | en_US |
| dc.relation.journal | Geometric and Functional Analysis | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Guth, Larry | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-1302-8657 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
