This paper is a systematic approach to the construction of coronas (i.e. Higson dominated boundaries at infinity) of combable spaces. We introduce three additional properties for combings: properness, coherence and expandingness. Properness is the condition under which our construction of the corona works. Under the assumption of coherence and expandingness, attaching our corona to a Rips complex construction yields a contractible $\sigma$-compact space in which the corona sits as a $Z$-set. This results in bijectivity of transgression maps, injectivity of the coarse assembly map and surjectivity of the coarse co-assembly map. For groups we get an estimate on the cohomological dimension of the corona in terms of the asymptotic dimension. Furthermore, if the group admits a finite model for its classifying space $BG$, then our constructions yield a $Z$-structure for the group.

本文是构建可梳空间的冕（即无穷远希格森主导边界）的系统方法。我们引入了梳理的三个附加属性：适当性、连贯性和扩展性。适当性是我们日冕建设发挥作用的条件。在连贯性和扩展性的假设下，将我们的日冕附加到 Rips 复杂结构上会产生可收缩的$\sigma$- 电晕作为一个紧凑的空间$Z$-放。这导致海侵图的双射性、粗组装图的单射性和粗组装图的满射性。对于群，我们根据渐近维数来估计日冕的上同调维数。此外，如果该群承认其分类空间有一个有限模型$乙G$，那么我们的构造会产生$Z$- 团体的结构。