Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659931 | Topology and its Applications | 2012 | 9 Pages |
Abstract
Let f be a continuous map of a compact metric space. Assuming shadowing for f we relate the average shadowing property of f to transitivity and its variants. Our results extend and complete the work of Sakai [K. Sakai, Various shadowing properties for positively expansive maps, Topology Appl. 131 (2003) 15–31].
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology