A family of maps with many small fibers

作者：Alpert Hannah^*; Guth Larry

来源：Journal of Topology and Analysis, 2015, 7(1): 73-79.

DOI：10.1142/S1793525315500053

• Waist inequality
• isoperimetric inequality

The waist inequality states that for a continuous map from S-n to R-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.

• 出版日期2015-3
• 单位MIT