论文标题

自相似连续图的有限属性

Finiteness properties for self-similar continua

论文作者

Tetenov, Andrei

论文摘要

我们考虑具有有限的交点属性的自相似性连续图,并证明了与自相似的树突的相交图准则,在$ \ mathbb {r}^n $中满足这种连续的开放式条件的有限级定理,并且参数符合所有与JORDAN ARCS相匹配的参数均应在此类互动中启动的参数,该均应在某个互动中启动。

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 $\mathbb{R}^n$ 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.

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