具有许多小纤维的一族映射
A family of maps with many small fibers
摘要：
腰不等式指出，对于从S^n到R^q的连续映射，并非所有纤维都可以具有小的（n-q）维体积。我们构造的映射，大多数纤维有小（n-q）维体积和所有纤维有界（n-q）维体积。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
