WAP Systems and Labeled Subshifts (Memoirs of the American Mathematical Society; Number 1265) by Ethan Akin and Eli Glasner - 2019

American Mathematical Society, 2019. Paperback. New Book. Paperback. Akin and Glasner present a powerful method of constructing subshifts that they use chiefly to construct weakly almost periodic (WAP) systems with various properties. Among many other applications of these labeled subshifts they obtain examples of null as well as non-null WAP subshifts, and WAP subshifts of arbitrary countable (Birkhoff) height. They also construct LE but not HAE subshifts, and recurrent non-tame subshifts. Their topics include WAP systems, labels and their dynamics, labeled subshifts, WAP labels and their subshifts, dynamical properties of X(M), scrambled sets, directed sets and nets, and Ellis semigroups and Ellis actions. (2019 Ringgold, Inc., Portland, OR)