Normal functors in the coarse category

Abstract

We define the canonical coarse structure on the spaces of the form \(FX\), where \(F\) is a finitary normal functor of finite degree and show that every finitary (i.e., preserving the class of finite spaces) normal functor of finite degree in  \(\mathbf{C}\mathbf{o}\mathbf{m}\mathbf{p}\) has its counterpart in the coarse category.