Choosing a Sheltered Middle Path
نویسنده
چکیده
We say that point x ∈ R2 is sheltered by a continuum S ⊂ R2 if x does not belong to the unbounded component of R2 \ S. Suppose that points a and b are the endpoints of each of three arcs A0, A1 and A2 contained in R2. We prove that there is an arc B ⊂ A0 ∪A1 ∪A2 with its endpoints a and b such that each point of B is sheltered by the union of each two of the arcs
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