A simple example concerning the upper box-counting dimension of a Cartesian product
type: Item
instance of: scholarly article
title: A simple example concerning the upper box-counting dimension of a Cartesian product
zbMATH Open document ID: 1384.28008
author: Eric J. Olson
author: James C. Robinson
published in: Real Analysis Exchange
publication date: 2018-03-09T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rae/1491271228
review text: The authors provide an example of two countable sets \(X\) and \(Y\) on the real axis such that the upper box-counting dimension of \(X\times Y\) is strictly lesser than the sum of their upper box-counting dimensions.
reviewed by: Boris A. Kats
Mathematics Subject Classification ID: 28A75
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 6848847
zbMATH Keywords: box-counting dimension
zbMATH Keywords: fractal dimension
zbMATH Keywords: Cartesian products
MaRDI profile type: Publication
OpenAlex ID: W2592312185
DOI: 10.14321/REALANALEXCH.40.2.0449
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description: scientific article; zbMATH DE number 6848847