Intersecting self-similar Cantor sets
نویسندگان
چکیده
منابع مشابه
Self-similar Measures and Intersections of Cantor Sets
It is natural to expect that the arithmetic sum of two Cantor sets should have positive Lebesgue measure if the sum of their dimensions exceeds 1, but there are many known counterexamples, e.g. when both sets are the middle-α Cantor set and α ∈ ( 1 3 , 1 2 ). We show that for any compact set K and for a.e. α ∈ (0, 1), the arithmetic sum of K and the middle-α Cantor set does indeed have positive...
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ژورنال
عنوان ژورنال: Boletim da Sociedade Brasileira de Matem�tica
سال: 1995
ISSN: 0100-3569,1678-7714
DOI: 10.1007/bf01236992