论文标题
关于马尔可夫IFS吸引者的局部连通性
On the local connectivity of attractors of Markov IFS
论文作者
论文摘要
我们证明了M. Hata定理[4]的扩展，用于平面Markov迭代功能系统，满足了开放式条件的强大版本。更确切地说，如果连接了这种系统的吸引子，则将其局部连接。我们构建反例，以表明所有其他假设都是必要的。
We prove an extension of M. Hata's theorem [4] for planar Markov Iterated Function Systems satisfying a strong version of the Open Set Condition. More precisely, if the attractor of such a system is connected, then it is locally connected. We construct counterexamples to show that all additional hypothesis are necessary.
