2020/03/09 by Andrei Tetenov, Tetenov, Andrei
Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2003.04202
We consider self-similar continua possessing finite intersection property and prove intersection graph criterion for self-similar dendrites, finite order Theorem for such continua satisfying open set condition in ℝn and parameter matching Theorem which states that all Jordan arcs starting from a intersection point in such continuum on a plane should have the same slope parameter at that point.