- Advances in the Theory of Nonlinear Analysis and its Application
- Volume:2 Issue:2
- A Self-Similar Dendrite with One-Point Intersection and Infinite Post-Critical Set
A Self-Similar Dendrite with One-Point Intersection and Infinite Post-Critical Set
Authors : Andrei TETENOV, Prabhjot SİNGH
Pages : 70-73
Doi:10.31197/atnaa.417783
View : 35 | Download : 8
Publication Date : 2018-06-30
Article Type : Research Paper
Abstract :We build an example of a system S of similarities in R^2 whose attractor is a plane dendrite $K\supset [0,1]$ which satisfies one point intersection property, while the post-critical set of the system S is a countable set whose natural projection to K is dense in the middle-third Cantor set.Keywords : self similar set, attractor, post critically finite, open set condition, dendrite
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