| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659900 | Topology and its Applications | 2010 | 8 Pages |
Abstract
In this paper we investigate orbit-transitivity, strong orbit-transitivity, ω-transitivity and open-set-transitivity of maps of general topological spaces. The relation between these transitivities is studied. We discuss various topological spaces, containing pseudo-regular spaces, partially completable spaces, and topological spaces without quasi-isolated points. Several conditions on spaces and on continuity for one transitivity to imply another transitivity are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
