Shuffle of ω-words: Algebraic aspects
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We introduce and investigate some sets of ω-trajectories that have the following properties: each of them defines an associative and commutative operation of shuffle of ω-words and, moreover, each of them satisfies a certain condition of fairness. The interrelations between these sets are studied as well as with other well-known classes of ω-words, like infinite Sturmian words, periodic and ultimately periodic ω-words.
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