A family of maps with many small fibers
Name
1402.2856.pdf
Size
118.39 KB
Format
Adobe PDF
Checksum (MD5)
745a412b63b0f8bc51284e12f3b05637
Author(s)
Alpert, Hannah
Guth, Lawrence
Date Issued
September 2014
Journal
Journal of Topology and Analysis
Publisher
World Scientific Publishing
Citation
Alpert, 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 Company
Version
Original manuscript
Abstract
The 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 inequality
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1142/S1793525315500053
