Title of article
Topological size of scrambled sets for local dendrite maps
Author/Authors
Askri، نويسنده , , Ghassen and Naghmouchi، نويسنده , , Issam، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2014
Pages
10
From page
95
To page
104
Abstract
We prove that for any local dendrite map f : 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
dendrite , Local dendrite , Scrambled set , Li–Yorke pair , Nowhere residual , Residual
Journal title
Topology and its Applications
Serial Year
2014
Journal title
Topology and its Applications
Record number
1584106
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