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math.MG2018
Even unique intersection point can break OSC: an example
Kirill Kamalutdinov, Andrey Tetenov
This was a long-standing question since 90-ies whether one-point intersection property for a self-similar set implies open set condition. We answer this question negatively. We giv…
math.MG2018
Twofold Cantor sets in R
Kirill Kamalutdinov, Andrei Tetenov
We introduce a class of self-similar sets which we call {\em twofold Cantor sets} in which are totally disconnected, do not have weak separation property and a…