Abstract
This paper proves some results concerning the lower Hewitt-Stromberg dimension of projections. We give non-trivial lower bounds on the lower Hewitt-Stromberg dimension of the projections onto almost all $m$-dimensional subspaces. In addition, we estimate the dimension of the exceptional sets of $m$-dimensional subspaces where the dimensions of projection are smaller than the typical value. The condition where the quasi-Assouad dimension is no greater than $m$ shows that the lower Hewitt-Stromberg dimension is preserved under orthogonal projections for almost all $m$-dimensional subspaces.
Citation
Bilel Selmi. "Projection estimates for the lower Hewitt-Stromberg dimension." Real Anal. Exchange 49 (1) 67 - 86, 2024. https://doi.org/10.14321/realanalexch.49.1.1664964942
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