Displaying similar documents to “Rotation sets and ergodic measures for torus homeomorphisms”

Locally equicontinuous dynamical systems

Eli Glasner, Benjamin Weiss (2000)

Colloquium Mathematicae

Similarity:

A new class of dynamical systems is defined, the class of “locally equicontinuous systems” (LE). We show that the property LE is inherited by factors as well as subsystems, and is closed under the operations of pointed products and inverse limits. In other words, the locally equicontinuous functions in l ∞ ( ℤ ) form a uniformly closed translation invariant subalgebra. We show that WAP ⊂ LE ⊂ AE, where WAP is the class of weakly almost periodic systems and AE the class of almost equicontinuous...