The main goal of this paper is to construct universal spaces for asymptotic dimension by generalizing to the coarse context an approach to constructing universal spaces for covering dimension using a factorization result due to Mardesic.

中文翻译：

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通过因式分解获得渐近维数的通用空间

本文的主要目标是通过将使用 Mardesic 的因式分解结果构建覆盖维度的通用空间的方法推广到粗略上下文，来构建渐近维度的通用空间。