Interval projections of self-similar sets
classification
🧮 math.DS
keywords
intervalself-similarconditioncontaineddefinedeitherfinitelyhomotheties
read the original abstract
We show that if $K$ is a self-similar $1$-set that is not contained in a line and either satisfies the strong separation condition or is defined via homotheties then there are at most finitely many lines through the origin such that the projection of $K$ onto them is an interval.
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