The filling problem in the cube
Metric Geometry
2012-02-28 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.1202.5788,
title = {The filling problem in the cube},
author = {Dominic Dotterrer},
journal= {arXiv preprint arXiv:1202.5788},
year = {2012}
}
Comments
12 pages