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Bibliographic Details
Main Author: Goto, Tatsuya
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.22592
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Table of Contents:
  • We show that if $\mathfrak{c} = \aleph_2$ then all covering numbers of Hausdorff measures $\operatorname{cov}(\mathcal{N}^s(\mathbb{R}^d))$ ($0 < s < d, d \in ω$) are equal and all uniformity numbers $\operatorname{non}(\mathcal{N}^s(\mathbb{R}^d))$ ($0 < s < d, d \in ω$) are equal. This is a partial answer to Problem 5.3 and 5.4 of [4].