Coarse cohomology for families
by James L. Heitsch and Steven Hurder

ABSTRACT:

We introduce coarse cohomology for families of metric spaces and develop the properties of this cohomology theory. Foliations provide the primary examples of such families and for these there are de Rham, Cech and Alexander-Spanier versions of this theory, which are all isomorphic. We compute the coarse cohomology for a number of important examples.