3 citations · 8 across the 11 of their papers we have counts for
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math.MG2020
On weak separation property for self-affine Jordan arcs
Andrei Tetenov, Olesya Chelkanova
We consider self-affine arcs in and prove that violation of "inner" weak separation property for such arcs implies that the arc is a parabolic segment. Therefore, if…
math.MG2020★ 2 cited
Finiteness properties for self-similar continua
Andrei Tetenov
We consider self-similar continua possessing finite intersection property and prove intersection graph criterion for self-similar dendrites, finite order Theorem for such continua…
math.MG2020
On the connected components of fractal cubes
Dmitry Drozdov, Andrei Tetenov
We show that a fractal cube in may have an uncountable set of connected components neither of which is contained in any plane, whereas the set is a…