论文标题

一项关于纽豪斯厚度,分形相和图案的调查

A survey on Newhouse thickness, fractal intersections and patterns

论文作者

Yavicoli, Alexia

论文摘要

在本文中,我们介绍了一个称为厚度的集合的大小概念,可用于确保两个Cantor集相交(间隙引理),并在厚度,Schmidt游戏和图案之间显示连接。我们主要在实际线路上工作,但我们也在更高的维度中介绍了该主题。

In this article, we introduce a notion of size for sets called thickness that can be used to guarantee that two Cantor sets intersect (the Gap Lemma), and show a connection among Thickness, Schmidt Games and Patterns. We work mostly in the real line, but we also introduce the topic in higher dimensions.

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