On sets with unit Hausdorff density in homogeneous groups
نویسندگان
چکیده
Abstract It is a longstanding conjecture that given subset E of metric space, if has unit $\mathscr {H}^{\alpha }\llcorner E$ -density almost everywhere, then an $\alpha $ -rectifiable set. We prove this under the assumption ambient space homogeneous group with smooth-box norm.
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ژورنال
عنوان ژورنال: Forum of Mathematics, Sigma
سال: 2023
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2023.31