In this paper we investigate a question of Akin and Carlson regarding the existence of transitive dynamical systems on a separable compact Hausdorff space without dense orbits. In particular, we give an answer in ZFC for the class of perfectly normal spaces and a consistent solution in the realm of hereditarily normal spaces.
On a problem of Akin and Carlson on dense orbits and transitivity
Fedeli, Alessandro
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2018-01-01
Abstract
In this paper we investigate a question of Akin and Carlson regarding the existence of transitive dynamical systems on a separable compact Hausdorff space without dense orbits. In particular, we give an answer in ZFC for the class of perfectly normal spaces and a consistent solution in the realm of hereditarily normal spaces.File in questo prodotto:
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Fedeli-Le Donne Top.Appl. 239 (2018).pdf
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