Coarse Sheaf Cohomology

A certain Grothendieck topology assigned to a metric space gives rise sheaf cohomology theory which sees the coarse structure of space. Already constant coefficients produce interesting groups. In degree 0, they see number ends this paper, resolution via cochains is developed. It serves be valuable tool for computing cohomology. addition, homotopy invariance with established. This property can used compute Riemannian manifolds. The Higson corona proper shown reflect sheaves and Thus, we use topological tools on compact Hausdorff spaces in our computations. particular, if asymptotic dimension finite, then higher groups vanish. We few examples. As it turns out, finite abelian are best suited as finitely generated