Self-similar Sets with an Open Set Condition and Great Variety of Overlaps
نویسندگان
چکیده
For a very simple family of self-similar sets with two pieces, we prove, using a technique of Solomyak, that the intersection of the pieces can be a Cantor set with any dimension in [0, 0.2] as well as a finite set of any cardinality 2m. The main point is that the open set condition is fulfilled for all these examples.
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