Contraction of Areas vs. Topology of Mappings
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 +...
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| Fformat: | Erthygl |
| Iaith: | en_US |
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Springer-Verlag
2015
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| Mynediad Ar-lein: | http://hdl.handle.net/1721.1/92898 https://orcid.org/0000-0002-1302-8657 |
| _version_ | 1826204661722382336 |
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| author | Guth, Lawrence |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Guth, Lawrence |
| author_sort | Guth, Lawrence |
| collection | MIT |
| description | 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]. |
| first_indexed | 2024-09-23T12:58:59Z |
| format | Article |
| id | mit-1721.1/92898 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:58:59Z |
| publishDate | 2015 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/928982022-10-01T12:18:49Z Contraction of Areas vs. Topology of Mappings Guth, Lawrence Massachusetts Institute of Technology. Department of Mathematics Guth, Lawrence 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]. 2015-01-15T19:16:48Z 2015-01-15T19:16:48Z 2013-08 2013-04 Article http://purl.org/eprint/type/JournalArticle 1016-443X 1420-8970 http://hdl.handle.net/1721.1/92898 Guth, Larry. “Contraction of Areas Vs. Topology of Mappings.” Geometric and Functional Analysis 23, no. 6 (December 2013): 1804–1902. https://orcid.org/0000-0002-1302-8657 en_US http://dx.doi.org/10.1007/s00039-013-0246-3 Geometric and Functional Analysis Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Guth, Lawrence Contraction of Areas vs. Topology of Mappings |
| title | Contraction of Areas vs. Topology of Mappings |
| title_full | Contraction of Areas vs. Topology of Mappings |
| title_fullStr | Contraction of Areas vs. Topology of Mappings |
| title_full_unstemmed | Contraction of Areas vs. Topology of Mappings |
| title_short | Contraction of Areas vs. Topology of Mappings |
| title_sort | contraction of areas vs topology of mappings |
| url | http://hdl.handle.net/1721.1/92898 https://orcid.org/0000-0002-1302-8657 |
| work_keys_str_mv | AT guthlawrence contractionofareasvstopologyofmappings |