The filling problem in the cube

Details The filling problem in the cube The filling problem in the cube

2012-02-26

arxiv.org/abs/1202.5788v1

Mathematics

Metric Geometry

12 pages

Scientific paper

We prove an isoperimetric inequality for filling cellular cycles in a high
dimensional cube with cellular chains. In addition, we provide a family of
cubical cellular cycles for which the exponent in the inequality is optimal.

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