Strong shape of uniform spaces (Q1803752)

The authors show how to extend known descriptions of strong shape theory to apply to uniform spaces. This is not an idle generalization however. They show convincingly that the uniform setting has definite advantages over the topological one. For instance they prove that the topological strong shape category of finitistic spaces can be represented in the homotopy category of uniform spaces. (A uniform space \(X\) is finitistic if every uniform covering of \(X\) has a uniform refinement of finite order).