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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.

Item Metadata

Title
A Survey on Newhouse Thickness, Fractal Intersections and Patterns
Creator
Yavicoli, Alexia
Publisher
Multidisciplinary Digital Publishing Institute
Date Issued
2022-12-14
Description
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.
Subject
thickness; Gap Lemma; patterns
Genre
Article
Type
Text
Language
eng
Date Available
2025-01-31
Provider
Vancouver : University of British Columbia Library
Rights
CC BY 4.0
DOI
10.14288/1.0447888
URI
http://hdl.handle.net/2429/90242
Affiliation
Science, Faculty of; Mathematics, Department of
Citation
Mathematical and Computational Applications 27 (6): 111 (2022)
Publisher DOI
10.3390/mca27060111
Peer Review Status
Reviewed
Scholarly Level
Faculty
Rights URI
https://creativecommons.org/licenses/by/4.0/
Aggregated Source Repository
DSpace

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Rights

CC BY 4.0