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A family of maps with many small fibers

dc.contributor.authorAlpert, Hannah
dc.contributor.authorGuth, Lawrence
dc.date.accessioned2018-05-23T13:21:50Z
dc.date.available2018-05-23T13:21:50Z
dc.date.issued2014-09
dc.date.submitted2014-02
dc.identifier.issn1793-5253
dc.identifier.issn1793-7167
dc.identifier.urihttp://hdl.handle.net/1721.1/115580
dc.description.abstractThe waist inequality states that for a continuous map from S[superscript n] < to ℝ [superscript q], not all fibers can have small (n - q)-dimensional volume. We construct maps for which most fibers have small (n - q)-dimensional volume and all fibers have bounded (n - q)-dimensional volume. Keywords: waist inequality; isoperimetric inequalityen_US
dc.publisherWorld Scientific Publishingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1142/S1793525315500053en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleA family of maps with many small fibersen_US
dc.typeArticleen_US
dc.identifier.citationAlpert, Hannah and Larry Guth. “A Family of Maps with Many Small Fibers.” Journal of Topology and Analysis 7, 1 (March 2015): 73–79 © 2015 World Scientific Publishing Companyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorAlpert, Hannah
dc.contributor.mitauthorGuth, Lawrence
dc.relation.journalJournal of Topology and Analysisen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2018-05-22T16:25:05Z
dspace.orderedauthorsAlpert, Hannah; Guth, Larryen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-5813-5029
dc.identifier.orcidhttps://orcid.org/0000-0002-1302-8657
mit.licenseOPEN_ACCESS_POLICYen_US


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