Algebraic flow theory of infinite graphs

A problem by Diestel is to extend algebraic flow theory of finite graphs to infinite graphs with ends. In order to pursue this problem, we define an A-flow and non-elusive H-flow for arbitrary graphs and for abelian Hausdorff topological groups  H and compact subsets A⊆H. We use these new definitions to extend several well-known theorems of flows in finite graphs to infinite graphs.