The Filling Problem in the Cube

被引：0
作者：
Dominic Dotterrer
机构：
[1] University of Chicago,Department of Mathematics
[2] University of Toronto,undefined
来源：
Discrete & Computational Geometry | 2016年 / 55卷
关键词：
Combinatorial geometry; Isoperimetry;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove an isoperimetric inequality for filling cellular Z2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}_2$$\end{document}-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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页码：249 / 262
页数：13
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