A Self-Similar Dendrite with One-Point Intersection and Infinite Post-Critical Set

Öz

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.

Anahtar Kelimeler

• self-similar set,attractor,post-critically finite,open set condition,dendrite

Kaynakça

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