Tag Archives: Countable semigroups

Distal systems and Expansive systems

A topological dynamical system is a pair where is a compact metric space and is a continuous map. This gives rise to an action of the semigroup on , where acts via the iterated map (and as usual denotes the … Continue reading

Posted in Classic results, Topological Dynamics | Tagged , , | 2 Comments

Hales-Jewett and a generalized van der Warden Theorems

The Hales-Jewett theorem is one of the most fundamental results in Ramsey theory, implying the celebrated van der Waerden theorem on arithmetic progressions, as well an its multidimensional and IP versions. One interesting property of the Hales-Jewett’s theorem is that … Continue reading

Posted in Combinatorics, Ramsey Theory | Tagged , , , , , , , | 3 Comments