Average Hewitt-Stromberg and box dimensions of typical compact metric spaces

Research Article

Average Hewitt-Stromberg and box dimensions of typical compact metric spaces

Published in: Quaestiones Mathematicae
Volume 46 , issue 3 , 2023 , pages: 411–444
DOI: 10.2989/16073606.2022.2033338
Author(s): Bilel Selmi University of Monastir, Tunisia
Keywords: 28A20 , 28A75 , 28A78 , 28A80 , 49Q15 , Hewitt-Stromberg measures , Hewitt-Stromberg dimensions , Gromov-Hausdorff metric , Gromov-Hausdorff space , Hölder and Cesaro averages
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Abstract

The main aim of this paper is to study average Hewitt-Stromberg and box dimensions of typical compact metric spaces belonging to the Gromov-Hausdorff space equipped with the Gromov-Hausdorff metric.
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