Article ID Journal Published Year Pages File Type
4658660 Topology and its Applications 2014 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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