Strict inequality in the box-counting dimension product formulas
Robinson, James and Sharples, Nicholas 
ORCID: https://orcid.org/0000-0003-1722-5647
(2012)
Strict inequality in the box-counting dimension product formulas.
Real Analysis Exchange, 38
(1)
.
pp. 95-120.
ISSN 0147-1937
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Abstract
We supplement the well known upper and lower box-counting product
inequalities to give a new product formula for subsets of metric spaces. We develop a procedure for constructing sets so that the upper and lower box-counting dimensions of these sets and their product can take arbitrary values satisfying the above product formula. In particular we illustrate how badly behaved both the lower and upper box-counting dimensions can be on taking products.
| Item Type: | Article |
|---|---|
| Additional Information: | Vol.38 • No. 1 • 2012/2013 |
| Research Areas: | A. > School of Science and Technology |
| Item ID: | 18181 |
| Depositing User: | Nicholas Sharples |
| Date Deposited: | 15 Oct 2015 11:03 |
| Last Modified: | 13 Sep 2022 10:41 |
| URI: | https://eprints.mdx.ac.uk/id/eprint/18181 |
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