On Keller’s Conjecture in Dimension Seven

Electronic Journal Of Combinatorics

Andrzej P. Kisielewicz¹ 

关键词: Box;    Cube tiling;    Keller';    s conjecture;    Rigidity.;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

A cube tiling of $\mathbb{R}^d$ is a family of pairwise disjoint cubes $[0,1)^d+T=\{[0,1)^d+t:t\in T\}$ such that $\bigcup_{t\in T}([0,1)^d+t=\mathbb{R}^d$. Two cubes $[0,1)^d+t$, $[0,1)^d+s$ are called a twin pair if $|t_j-s_j|=1$ for some $j\in [d]=\{1,

【 授权许可】

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