Cellular Automata in the Cantor, Besicovitch, and Weyl Topological Spaces
F. Blanchard, Enrico Formenti, Petr Kůrka · Complex Systems · 1997
The Besicovitch and Weyl pseudometrics on the space AŸ of biinfinite sequences measure the density of differences in either the central or arbitrary segments of given sequences. The Besicovitch and Weyl spaces are obtained from A by factoring through the equivalence of zero distance. Cellular automata are considered as dynamical systems on the Besicovitch and Weyl spaces and their topological and dynamical properties are compared with those they possess in the Cantor space.