2007/08/27 by Elemér E Rosinger, Rosinger, Elemer E
Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory
paper · pdf · doi:10.48550/arxiv.0708.3693
A rather general ergodic type scheme is presented on arbitrary sets X, as they are generated by arbitrary mappings T : X \longrightarrow X. The structures considered on X are given by suitable subsets of the set of all of its finite partitions. Ergodicity is studied not with respect to subsets of X, but with the \it inverse limits of families of finite partitions.