In this paper, we define accessibility on an iterated function system (IFS) and show that it provides a sufficient condition for the transitivity of this system and its corresponding skew product. Then, by means of a certain tool, we obtain the topologically mixing property. We also give some results about the ergodicity and stability of accessibility and, further, illustrate accessibility by some examples.

中文翻译：

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迭代功能系统上的可访问性

在本文中，我们在迭代功能系统（IFS）上定义了可访问性，并表明它为该系统及其对应的偏斜乘积的可传递性提供了充分条件。然后，借助某种工具，我们获得了拓扑混合特性。我们还将给出有关可访问性的遍历性和稳定性的一些结果，并通过一些示例进一步说明可访问性。