Geodesic
Normal functors in the coarse category
Algebra and discrete mathematics, no. 4 (2005), pp. 16-27.

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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 Comp has its counterpart in the coarse category.
Keywords: coarse space, coarse map, normal functor. 
@article{ADM_2005_4_a1,
     author = {V. Frider},
     title = {Normal functors in the coarse category},
     journal = {Algebra and discrete mathematics},
     pages = {16--27},
     publisher = {mathdoc},
     number = {4},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2005_4_a1/}
}
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V. Frider. Normal functors in the coarse category. Algebra and discrete mathematics, no. 4 (2005), pp. 16-27. http://geodesic.mathdoc.fr/item/ADM_2005_4_a1/