A family of maps with many small fibers

Hannah Alpert; Larry Guth

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arXiv · 1402.2856

A family of maps with many small fibers

Hannah Alpert·Larry Guth

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Abstract

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.

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BibTeX RIS

Hannah Alpert, Larry Guth. 2014-02-12. A family of maps with many small fibers. https://arxiv.org/abs/1402.2856

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