Generalized Besicovitch and Weyl spaces: Topology, patterns, and sliding block codes

The Besicovitch and Weyl topologies on the space of configurations take a point of view completely different from the usual product topology; as such, the properties of the former are much different from that of the latter. The one-dimensional case has already been the subject of thorough studies; we extend it to greater dimensions, and also to more general groups.