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On the packing dimension of unions and extensions of $k$-planes

math.CA · 2025-08-25 · conditional · novelty 7.0

For unions of subsets of k-planes, the paper proves packing dimension bounds analogous to known Hausdorff dimension results, and for hyperplanes proves an exact preservation of packing dimension under full-dimension extension.

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  • On the packing dimension of unions and extensions of $k$-planes math.CA · 2025-08-25 · conditional · none · ref 25

    For unions of subsets of k-planes, the paper proves packing dimension bounds analogous to known Hausdorff dimension results, and for hyperplanes proves an exact preservation of packing dimension under full-dimension extension.