论文标题
渐近维度的狂热分解定理
Mardesic factorization theorem for asymptotic dimension
论文作者
论文摘要
该注释的主要目的是证明尺寸理论中分解定理的粗略类似物：让$ f：x \ rightarrow y $成为一个粗糙的连续图。然后，$ f $ aps $ f $ raps $ g：x \ rightarrow z $和$ h：z \ rightarrow y $，最多造成$ x $的渐近尺寸为$ z $，最多是$ y $的$ z $的重量。
The main goal of this note is to prove a coarse analogue of Factorization Theorems in Dimension Theory: Let $f: X \rightarrow Y$ be a coarsely continuous map. Then $f$ factors through coarsely continuous maps $g : X \rightarrow Z$ and $h : Z \rightarrow Y$ with asymptotic dimension of $Z$ at most asymptotic dimension of $X$ and the weight of $Z$ at most the weight of $Y$.
