UBC Faculty Research and Publications

A Survey on Newhouse Thickness, Fractal Intersections and Patterns Yavicoli, Alexia

Abstract

In this article, we introduce a notion of size for sets, called the 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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