Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658660 | Topology and its Applications | 2014 | 10 Pages |
Abstract
We prove that for any local dendrite map f:X→Xf:X→X, any scrambled set of f is totally disconnected and hence it has empty interior. Moreover, we prove that scrambled sets are nowhere residual if the set of branch points of X is discrete, this holds in particular for Gehman dendrite.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Ghassen Askri, Issam Naghmouchi,