Article ID Journal Published Year Pages File Type
8904086 Topology and its Applications 2018 12 Pages PDF
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.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Preview
On a problem of Akin and Carlson on dense orbits and transitivity
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