  As service to the community, we provide - for Euclidean space - a basic
treatment of locally rectifiable chains and of the complex of locally integral
chains. In this setting, we may beneficially develop the idea of a complete
normed commutative group bundle over the Grassmann manifold whose fibre is the
coefficient group of the chains. Our exposition also sheds new light on some
algebraic aspects of the theory. Finally, we indicate an extension to a
geometric approach to locally flat chains centring on locally rectifiable
chains rather than completion procedures.
