Category and dimensions for cut-out sets
type: Item
instance of: scholarly article
title: Category and dimensions for cut-out sets
zbMATH Open document ID: 1177.28027
author: J. Blot
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-07-09T00:00:00Z
review text: The authors study the modified box dimension of cut-out sets that belong to a positive, nonincreasing and summable sequence. By noting that the family of this kind of sets is a compact metric space under the Hausdorff metric, the authors prove that the lower modified box dimension equals to zero and the upper modified box dimension equals to the upper box dimension for almost all cut-out sets in the sense of Baire category.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 5577099
zbMATH Keywords: cut-out set
zbMATH Keywords: modified box dimension
zbMATH Keywords: Baire category
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.04.057
OpenAlex ID: W2023993475
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DOI: 10.1016/J.JMAA.2009.04.057
description: scientific article; zbMATH DE number 5577099