A family of maps with many small fibers
classification
🧮 math.DG
keywords
fibersdimensionalsmallvolumemapsboundedconstructcontinuous
read the original 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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