Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904086 | Topology and its Applications | 2018 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Alessandro Fedeli, Attilio Le Donne,