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Full Description
The main object of this work is to present a powerful method of construction of subshifts which the authors use chiefly to construct WAP systems with various properties. Among many other applications of these so-called labeled subshifts, the authors obtain examples of null as well as non-null WAP subshifts, WAP subshifts of arbitrary countable (Birkhoff) height, and completely scrambled WAP systems of arbitrary countable height. They also construct LE but not HAE subshifts and recurrent non-tame subshifts.
Contents
Introduction
WAP systems
Labels and their dynamics
Labeled subshifts
WAP labels and their subshifts
Dynamical properties of $X(\mathcal{M} )$
Scrambled sets
Appendix A. Directed sets and nets
Appendix B. Ellis semigroups and Ellis actions
Bibliography
Index.
